Finding the Third Proportional to 32,080 and 67,976

Step by Step Solution

1. Step 1: Write the proportion equation
   32,080 : 67,976 = 67,976 : x
2. Step 2: Convert to fraction form
   32,080/67,976 = 67,976/x
3. Step 3: Cross multiply
   32,080x = 67,976 × 67,976
4. Step 4: Simplify right side
   32,080x = 4,620,736,576
5. Step 5: Solve for x
   x = 4,620,736,576/32,080
6. Step 6: Final answer
   x = 144,037.92