Finding the Third Proportional to 14,533 and 22,499

Step by Step Solution

1. Step 1: Write the proportion equation
   14,533 : 22,499 = 22,499 : x
2. Step 2: Convert to fraction form
   14,533/22,499 = 22,499/x
3. Step 3: Cross multiply
   14,533x = 22,499 × 22,499
4. Step 4: Simplify right side
   14,533x = 506,205,001
5. Step 5: Solve for x
   x = 506,205,001/14,533
6. Step 6: Final answer
   x = 34,831.42