Finding the Third Proportional to 11,540 and 17,472

Step by Step Solution

1. Step 1: Write the proportion equation
   11,540 : 17,472 = 17,472 : x
2. Step 2: Convert to fraction form
   11,540/17,472 = 17,472/x
3. Step 3: Cross multiply
   11,540x = 17,472 × 17,472
4. Step 4: Simplify right side
   11,540x = 305,270,784
5. Step 5: Solve for x
   x = 305,270,784/11,540
6. Step 6: Final answer
   x = 26,453.27