Finding the Third Proportional to 47,811,688,338 and 71,454,016,494

Step by Step Solution

1. Step 1: Write the proportion equation
   47,811,688,338 : 71,454,016,494 = 71,454,016,494 : x
2. Step 2: Convert to fraction form
   47,811,688,338/71,454,016,494 = 71,454,016,494/x
3. Step 3: Cross multiply
   47,811,688,338x = 71,454,016,494 × 71,454,016,494
4. Step 4: Simplify right side
   47,811,688,338x = 5,105,676,473,124,824,023,040
5. Step 5: Solve for x
   x = 5,105,676,473,124,824,023,040/47,811,688,338
6. Step 6: Final answer
   x = 106,787,203,100.44