Finding the Third Proportional to 32,082 and 67,980

Step by Step Solution

1. Step 1: Write the proportion equation
   32,082 : 67,980 = 67,980 : x
2. Step 2: Convert to fraction form
   32,082/67,980 = 67,980/x
3. Step 3: Cross multiply
   32,082x = 67,980 × 67,980
4. Step 4: Simplify right side
   32,082x = 4,621,280,400
5. Step 5: Solve for x
   x = 4,621,280,400/32,082
6. Step 6: Final answer
   x = 144,045.89