Finding the Third Proportional to 32,711 and 71,650

Step by Step Solution

1. Step 1: Write the proportion equation
   32,711 : 71,650 = 71,650 : x
2. Step 2: Convert to fraction form
   32,711/71,650 = 71,650/x
3. Step 3: Cross multiply
   32,711x = 71,650 × 71,650
4. Step 4: Simplify right side
   32,711x = 5,133,722,500
5. Step 5: Solve for x
   x = 5,133,722,500/32,711
6. Step 6: Final answer
   x = 156,941.78