Finding the Third Proportional to 11,496 and 17,744

Step by Step Solution

1. Step 1: Write the proportion equation
   11,496 : 17,744 = 17,744 : x
2. Step 2: Convert to fraction form
   11,496/17,744 = 17,744/x
3. Step 3: Cross multiply
   11,496x = 17,744 × 17,744
4. Step 4: Simplify right side
   11,496x = 314,849,536
5. Step 5: Solve for x
   x = 314,849,536/11,496
6. Step 6: Final answer
   x = 27,387.75