Finding the Third Proportional to 32,499 and 70,505

Step by Step Solution

1. Step 1: Write the proportion equation
   32,499 : 70,505 = 70,505 : x
2. Step 2: Convert to fraction form
   32,499/70,505 = 70,505/x
3. Step 3: Cross multiply
   32,499x = 70,505 × 70,505
4. Step 4: Simplify right side
   32,499x = 4,970,955,025
5. Step 5: Solve for x
   x = 4,970,955,025/32,499
6. Step 6: Final answer
   x = 152,957.17