Here is the vision which God showed Daniel and what Daniel told the King ....
Daniel 2:31 ¶ Thou, O king, sawest, and behold a great image. This great image, whose brightness was excellent, stood before thee; and the form thereof was terrible.
32 This image’s head was of fine gold, his breast and his arms of silver, his belly and his thighs of brass,
33 His legs of iron, his feet part of iron and part of clay.
34 Thou sawest till that a stone was cut out without hands, which smote the image upon his feet that were of iron and clay, and brake them to pieces.
35 Then was the iron, the clay, the brass, the silver, and the gold, broken to pieces together, and became like the chaff of the summer threshingfloors; and the wind carried them away, that no place was found for them: and the stone that smote the image became a great mountain, and filled the whole earth.
Here is the interpretation of the vision:
36 This is the dream; and we will tell the interpretation thereof before the king.
37 Thou, O king, art a king of kings: for the God of heaven hath given thee a kingdom, power, and strength, and glory.
38 And wheresoever the children of men dwell, the beasts of the field and the fowls of the heaven hath he given into thine hand, and hath made thee ruler over them all. Thou art this head of gold.
39 And after thee shall arise another kingdom inferior to thee, and another third kingdom of brass, which shall bear rule over all the earth.
40 And the fourth kingdom shall be strong as iron: forasmuch as iron breaketh in pieces and subdueth all things: and as iron that breaketh all these, shall it break in pieces and bruise.
41 And whereas thou sawest the feet and toes, part of potters’ clay, and part of iron, the kingdom shall be divided; but there shall be in it of the strength of the iron, forasmuch as thou sawest the iron mixed with miry clay.
42 And as the toes of the feet were part of iron, and part of clay, so the kingdom shall be partly strong, and partly broken.
43 And whereas thou sawest iron mixed with miry clay, they shall mingle themselves with the seed of men: but they shall not cleave one to another, even as iron is not mixed with clay.
44 And in the days of these kings shall the God of heaven set up a kingdom, which shall never be destroyed: and the kingdom shall not be left to other people, but it shall break in pieces and consume all these kingdoms, and it shall stand for ever.
45 Forasmuch as thou sawest that the stone was cut out of the mountain without hands, and that it brake in pieces the iron, the brass, the clay, the silver, and the gold; the great God hath made known to the king what shall come to pass hereafter: and the dream is certain, and the interpretation thereof sure.
I would like to draw your attention to a couple of things. Earlier on you suggested that the order of verse 45 was to denote strength. Please note that verse 43 says that the clay is miry clay. Thus it is unworkable for any purpose in ceramics.It's just dirt. It is in fact the weakest of all the items on the list.
Now note also verse 38...thou art the head of gold...(1st kingdom)
Verse 39....after thee shall arise another kingdom....(2nd kingdom).....and another third kingdom....(3rd kingdom)
Verse 40....And the fourth kingdom.....(4 Kingdoms)
Verse 41....41 And whereas thou sawest the feet and toes, part of potters’ clay, and part of iron, the kingdom ....(what Kingdom? Clearly this is speaking of the last Kingdom mentioned...the fourth Kingdom, Rome.)
....shall be divided;.... (History attests to this with its pages written in the blood of thousands across Europe)
.....but there shall be in it of the strength of the iron..... (Though divided the remains of the Roman empire was still a persecuting war-mongering entity which "as iron that breaketh all these, shall it break in pieces and bruise." This the papacy did throughout the dark ages.
....forasmuch as thou sawest the iron mixed with miry clay.....
Verse 42 And as the toes of the feet were part of iron, and part of clay, so the kingdom shall be partly strong, and partly broken....
Note that the presence of the clay brought weakness to the division, not strength. The weakness came in the form of apostate Christianity united with the state power, a church/state union ...the most egregious form of spiritual adultery since Ahab brought Israel under bondage to the gods of Jezebel.
Verse 43 ....And whereas thou sawest iron mixed with miry clay, they shall mingle themselves with the seed of men: but they shall not cleave one to another, even as iron is not mixed with clay. Again, history throughout the last 1500 years attests to the truith of the vision. Today, every royal house of Europe is related. Yet they remain divided, and shall always remain so. Several attempts have been made over the centuries to unite Europe with the Vatican as ruler. Charlamagne, Louis 14th?, Hitler. A superfiical unity can be found within the modern European Union, but there is and always will be an underlying division which shall never be healed. The popes of recent times have all attempted to unite Europe once again under the reagis of the Vatican. The European flag is testament to this, also the intense lobbying by popes for the legislations of all member nations to agree on Sunday laws. This latter matter they will eventually agree to, but the iron shall never mix completely with the clay.
Thus the clay/iron mix is not a seprate and distinct kingdom, but merely the historical division of the fourth kingdom. The iron of Rome which began with the dismantling of the Greek empire never was conquered...it may have disintegrated inwardly due to corruption in politics and morals, but was never conquered by another power. Rome remains to this day, only in another form. The Vatican. A church/state union mirroring the pagan/state unions of the pagan powers the characteriasics of which she inherited and incorporated into her false "Christian" counterfeit.