Finding the Third Proportional to 32,685 and 71,670

Step by Step Solution

1. Step 1: Write the proportion equation
   32,685 : 71,670 = 71,670 : x
2. Step 2: Convert to fraction form
   32,685/71,670 = 71,670/x
3. Step 3: Cross multiply
   32,685x = 71,670 × 71,670
4. Step 4: Simplify right side
   32,685x = 5,136,588,900
5. Step 5: Solve for x
   x = 5,136,588,900/32,685
6. Step 6: Final answer
   x = 157,154.32