Finding the Third Proportional to 32,082 and 67,080

Step by Step Solution

1. Step 1: Write the proportion equation
   32,082 : 67,080 = 67,080 : x
2. Step 2: Convert to fraction form
   32,082/67,080 = 67,080/x
3. Step 3: Cross multiply
   32,082x = 67,080 × 67,080
4. Step 4: Simplify right side
   32,082x = 4,499,726,400
5. Step 5: Solve for x
   x = 4,499,726,400/32,082
6. Step 6: Final answer
   x = 140,257.04