Finding the Third Proportional to 10,540 and 14,857

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 14,857 = 14,857 : x
2. Step 2: Convert to fraction form
   10,540/14,857 = 14,857/x
3. Step 3: Cross multiply
   10,540x = 14,857 × 14,857
4. Step 4: Simplify right side
   10,540x = 220,730,449
5. Step 5: Solve for x
   x = 220,730,449/10,540
6. Step 6: Final answer
   x = 20,942.17