Finding the Third Proportional to 32,578 and 71,387

Step by Step Solution

1. Step 1: Write the proportion equation
   32,578 : 71,387 = 71,387 : x
2. Step 2: Convert to fraction form
   32,578/71,387 = 71,387/x
3. Step 3: Cross multiply
   32,578x = 71,387 × 71,387
4. Step 4: Simplify right side
   32,578x = 5,096,103,769
5. Step 5: Solve for x
   x = 5,096,103,769/32,578
6. Step 6: Final answer
   x = 156,427.77