Finding the Third Proportional to 32,854 and 71,452

Step by Step Solution

1. Step 1: Write the proportion equation
   32,854 : 71,452 = 71,452 : x
2. Step 2: Convert to fraction form
   32,854/71,452 = 71,452/x
3. Step 3: Cross multiply
   32,854x = 71,452 × 71,452
4. Step 4: Simplify right side
   32,854x = 5,105,388,304
5. Step 5: Solve for x
   x = 5,105,388,304/32,854
6. Step 6: Final answer
   x = 155,396.25