Finding the Third Proportional to 9,540 and 14,680

Step by Step Solution

1. Step 1: Write the proportion equation
   9,540 : 14,680 = 14,680 : x
2. Step 2: Convert to fraction form
   9,540/14,680 = 14,680/x
3. Step 3: Cross multiply
   9,540x = 14,680 × 14,680
4. Step 4: Simplify right side
   9,540x = 215,502,400
5. Step 5: Solve for x
   x = 215,502,400/9,540
6. Step 6: Final answer
   x = 22,589.35