Finding the Third Proportional to 9,540 and 17,730

Step by Step Solution

1. Step 1: Write the proportion equation
   9,540 : 17,730 = 17,730 : x
2. Step 2: Convert to fraction form
   9,540/17,730 = 17,730/x
3. Step 3: Cross multiply
   9,540x = 17,730 × 17,730
4. Step 4: Simplify right side
   9,540x = 314,352,900
5. Step 5: Solve for x
   x = 314,352,900/9,540
6. Step 6: Final answer
   x = 32,951.04