Finding the Third Proportional to 10,540 and 16,338

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 16,338 = 16,338 : x
2. Step 2: Convert to fraction form
   10,540/16,338 = 16,338/x
3. Step 3: Cross multiply
   10,540x = 16,338 × 16,338
4. Step 4: Simplify right side
   10,540x = 266,930,244
5. Step 5: Solve for x
   x = 266,930,244/10,540
6. Step 6: Final answer
   x = 25,325.45