Finding the Third Proportional to 32,334 and 71,466

Step by Step Solution

1. Step 1: Write the proportion equation
   32,334 : 71,466 = 71,466 : x
2. Step 2: Convert to fraction form
   32,334/71,466 = 71,466/x
3. Step 3: Cross multiply
   32,334x = 71,466 × 71,466
4. Step 4: Simplify right side
   32,334x = 5,107,389,156
5. Step 5: Solve for x
   x = 5,107,389,156/32,334
6. Step 6: Final answer
   x = 157,957.23