Finding the Third Proportional to 11,540 and 17,648

Step by Step Solution

1. Step 1: Write the proportion equation
   11,540 : 17,648 = 17,648 : x
2. Step 2: Convert to fraction form
   11,540/17,648 = 17,648/x
3. Step 3: Cross multiply
   11,540x = 17,648 × 17,648
4. Step 4: Simplify right side
   11,540x = 311,451,904
5. Step 5: Solve for x
   x = 311,451,904/11,540
6. Step 6: Final answer
   x = 26,988.90