Finding the Third Proportional to 32,414 and 71,632

Step by Step Solution

1. Step 1: Write the proportion equation
   32,414 : 71,632 = 71,632 : x
2. Step 2: Convert to fraction form
   32,414/71,632 = 71,632/x
3. Step 3: Cross multiply
   32,414x = 71,632 × 71,632
4. Step 4: Simplify right side
   32,414x = 5,131,143,424
5. Step 5: Solve for x
   x = 5,131,143,424/32,414
6. Step 6: Final answer
   x = 158,300.22