Finding the Third Proportional to 32,609 and 71,468

Step by Step Solution

1. Step 1: Write the proportion equation
   32,609 : 71,468 = 71,468 : x
2. Step 2: Convert to fraction form
   32,609/71,468 = 71,468/x
3. Step 3: Cross multiply
   32,609x = 71,468 × 71,468
4. Step 4: Simplify right side
   32,609x = 5,107,675,024
5. Step 5: Solve for x
   x = 5,107,675,024/32,609
6. Step 6: Final answer
   x = 156,633.91