Finding the Third Proportional to 32,147 and 71,746

Step by Step Solution

1. Step 1: Write the proportion equation
   32,147 : 71,746 = 71,746 : x
2. Step 2: Convert to fraction form
   32,147/71,746 = 71,746/x
3. Step 3: Cross multiply
   32,147x = 71,746 × 71,746
4. Step 4: Simplify right side
   32,147x = 5,147,488,516
5. Step 5: Solve for x
   x = 5,147,488,516/32,147
6. Step 6: Final answer
   x = 160,123.45