Finding the Third Proportional to 32,409 and 71,154

Step by Step Solution

1. Step 1: Write the proportion equation
   32,409 : 71,154 = 71,154 : x
2. Step 2: Convert to fraction form
   32,409/71,154 = 71,154/x
3. Step 3: Cross multiply
   32,409x = 71,154 × 71,154
4. Step 4: Simplify right side
   32,409x = 5,062,891,716
5. Step 5: Solve for x
   x = 5,062,891,716/32,409
6. Step 6: Final answer
   x = 156,218.70