Finding the Third Proportional to 10,540 and 16,902

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 16,902 = 16,902 : x
2. Step 2: Convert to fraction form
   10,540/16,902 = 16,902/x
3. Step 3: Cross multiply
   10,540x = 16,902 × 16,902
4. Step 4: Simplify right side
   10,540x = 285,677,604
5. Step 5: Solve for x
   x = 285,677,604/10,540
6. Step 6: Final answer
   x = 27,104.14