Finding the Third Proportional to 32,539 and 71,045

Step by Step Solution

1. Step 1: Write the proportion equation
   32,539 : 71,045 = 71,045 : x
2. Step 2: Convert to fraction form
   32,539/71,045 = 71,045/x
3. Step 3: Cross multiply
   32,539x = 71,045 × 71,045
4. Step 4: Simplify right side
   32,539x = 5,047,392,025
5. Step 5: Solve for x
   x = 5,047,392,025/32,539
6. Step 6: Final answer
   x = 155,118.23