Finding the Third Proportional to 5,556,629,493,792 and 12,036,384,759,168

Step by Step Solution

1. Step 1: Write the proportion equation
   5,556,629,493,792 : 12,036,384,759,168 = 12,036,384,759,168 : x
2. Step 2: Convert to fraction form
   5,556,629,493,792/12,036,384,759,168 = 12,036,384,759,168/x
3. Step 3: Cross multiply
   5,556,629,493,792x = 12,036,384,759,168 × 12,036,384,759,168
4. Step 4: Simplify right side
   5,556,629,493,792x = 144,874,558,070,731,705,518,391,296
5. Step 5: Solve for x
   x = 144,874,558,070,731,705,518,391,296/5,556,629,493,792
6. Step 6: Final answer
   x = 26,072,380,430,005.10