Finding the Third Proportional to 32,614 and 71,564

Step by Step Solution

1. Step 1: Write the proportion equation
   32,614 : 71,564 = 71,564 : x
2. Step 2: Convert to fraction form
   32,614/71,564 = 71,564/x
3. Step 3: Cross multiply
   32,614x = 71,564 × 71,564
4. Step 4: Simplify right side
   32,614x = 5,121,406,096
5. Step 5: Solve for x
   x = 5,121,406,096/32,614
6. Step 6: Final answer
   x = 157,030.91