Finding the Third Proportional to 51,363 and 81,499

Step by Step Solution

1. Step 1: Write the proportion equation
   51,363 : 81,499 = 81,499 : x
2. Step 2: Convert to fraction form
   51,363/81,499 = 81,499/x
3. Step 3: Cross multiply
   51,363x = 81,499 × 81,499
4. Step 4: Simplify right side
   51,363x = 6,642,087,001
5. Step 5: Solve for x
   x = 6,642,087,001/51,363
6. Step 6: Final answer
   x = 129,316.57