Finding the Third Proportional to 32,098 and 71,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,098 : 71,574.50 = 71,574.50 : x
2. Step 2: Convert to fraction form
   32,098/71,574.50 = 71,574.50/x
3. Step 3: Cross multiply
   32,098x = 71,574.50 × 71,574.50
4. Step 4: Simplify right side
   32,098x = 5,122,909,050.25
5. Step 5: Solve for x
   x = 5,122,909,050.25/32,098
6. Step 6: Final answer
   x = 159,602.13