Finding the Third Proportional to 23,128,293,534 and 31,205,498,375

Step by Step Solution

1. Step 1: Write the proportion equation
   23,128,293,534 : 31,205,498,375 = 31,205,498,375 : x
2. Step 2: Convert to fraction form
   23,128,293,534/31,205,498,375 = 31,205,498,375/x
3. Step 3: Cross multiply
   23,128,293,534x = 31,205,498,375 × 31,205,498,375
4. Step 4: Simplify right side
   23,128,293,534x = 973,783,128,832,127,664,128
5. Step 5: Solve for x
   x = 973,783,128,832,127,664,128/23,128,293,534
6. Step 6: Final answer
   x = 42,103,544,189.31