Finding the Third Proportional to 32,164 and 71,708

Step by Step Solution

1. Step 1: Write the proportion equation
   32,164 : 71,708 = 71,708 : x
2. Step 2: Convert to fraction form
   32,164/71,708 = 71,708/x
3. Step 3: Cross multiply
   32,164x = 71,708 × 71,708
4. Step 4: Simplify right side
   32,164x = 5,142,037,264
5. Step 5: Solve for x
   x = 5,142,037,264/32,164
6. Step 6: Final answer
   x = 159,869.33