Finding the Third Proportional to 4,607,545,869,288 and 10,026,205,418,678

Step by Step Solution

1. Step 1: Write the proportion equation
   4,607,545,869,288 : 10,026,205,418,678 = 10,026,205,418,678 : x
2. Step 2: Convert to fraction form
   4,607,545,869,288/10,026,205,418,678 = 10,026,205,418,678/x
3. Step 3: Cross multiply
   4,607,545,869,288x = 10,026,205,418,678 × 10,026,205,418,678
4. Step 4: Simplify right side
   4,607,545,869,288x = 100,524,795,097,528,092,699,131,904
5. Step 5: Solve for x
   x = 100,524,795,097,528,092,699,131,904/4,607,545,869,288
6. Step 6: Final answer
   x = 21,817,426,879,585.70