Finding the Third Proportional to 16,184,700,938,526 and 34,948,962,515,334

Step by Step Solution

1. Step 1: Write the proportion equation
   16,184,700,938,526 : 34,948,962,515,334 = 34,948,962,515,334 : x
2. Step 2: Convert to fraction form
   16,184,700,938,526/34,948,962,515,334 = 34,948,962,515,334/x
3. Step 3: Cross multiply
   16,184,700,938,526x = 34,948,962,515,334 × 34,948,962,515,334
4. Step 4: Simplify right side
   16,184,700,938,526x = 1,221,429,980,898,221,063,002,914,816
5. Step 5: Solve for x
   x = 1,221,429,980,898,221,063,002,914,816/16,184,700,938,526
6. Step 6: Final answer
   x = 75,468,183,535,645.92