Finding the Third Proportional to 32,742 and 71,028

Step by Step Solution

1. Step 1: Write the proportion equation
   32,742 : 71,028 = 71,028 : x
2. Step 2: Convert to fraction form
   32,742/71,028 = 71,028/x
3. Step 3: Cross multiply
   32,742x = 71,028 × 71,028
4. Step 4: Simplify right side
   32,742x = 5,044,976,784
5. Step 5: Solve for x
   x = 5,044,976,784/32,742
6. Step 6: Final answer
   x = 154,082.73