Finding the Third Proportional to 10,540 and 13,698

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 13,698 = 13,698 : x
2. Step 2: Convert to fraction form
   10,540/13,698 = 13,698/x
3. Step 3: Cross multiply
   10,540x = 13,698 × 13,698
4. Step 4: Simplify right side
   10,540x = 187,635,204
5. Step 5: Solve for x
   x = 187,635,204/10,540
6. Step 6: Final answer
   x = 17,802.20