Finding the Third Proportional to 32,578 and 71,390

Step by Step Solution

1. Step 1: Write the proportion equation
   32,578 : 71,390 = 71,390 : x
2. Step 2: Convert to fraction form
   32,578/71,390 = 71,390/x
3. Step 3: Cross multiply
   32,578x = 71,390 × 71,390
4. Step 4: Simplify right side
   32,578x = 5,096,532,100
5. Step 5: Solve for x
   x = 5,096,532,100/32,578
6. Step 6: Final answer
   x = 156,440.91