Finding the Third Proportional to 32,580 and 71,496

Step by Step Solution

1. Step 1: Write the proportion equation
   32,580 : 71,496 = 71,496 : x
2. Step 2: Convert to fraction form
   32,580/71,496 = 71,496/x
3. Step 3: Cross multiply
   32,580x = 71,496 × 71,496
4. Step 4: Simplify right side
   32,580x = 5,111,678,016
5. Step 5: Solve for x
   x = 5,111,678,016/32,580
6. Step 6: Final answer
   x = 156,896.19