Finding the Third Proportional to 11,256 and 16,540

Step by Step Solution

1. Step 1: Write the proportion equation
   11,256 : 16,540 = 16,540 : x
2. Step 2: Convert to fraction form
   11,256/16,540 = 16,540/x
3. Step 3: Cross multiply
   11,256x = 16,540 × 16,540
4. Step 4: Simplify right side
   11,256x = 273,571,600
5. Step 5: Solve for x
   x = 273,571,600/11,256
6. Step 6: Final answer
   x = 24,304.51