Finding the Third Proportional to 10,540 and 22,680

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 22,680 = 22,680 : x
2. Step 2: Convert to fraction form
   10,540/22,680 = 22,680/x
3. Step 3: Cross multiply
   10,540x = 22,680 × 22,680
4. Step 4: Simplify right side
   10,540x = 514,382,400
5. Step 5: Solve for x
   x = 514,382,400/10,540
6. Step 6: Final answer
   x = 48,802.88