Finding the Third Proportional to 32,098 and 71,576

Step by Step Solution

1. Step 1: Write the proportion equation
   32,098 : 71,576 = 71,576 : x
2. Step 2: Convert to fraction form
   32,098/71,576 = 71,576/x
3. Step 3: Cross multiply
   32,098x = 71,576 × 71,576
4. Step 4: Simplify right side
   32,098x = 5,123,123,776
5. Step 5: Solve for x
   x = 5,123,123,776/32,098
6. Step 6: Final answer
   x = 159,608.82