Finding the Third Proportional to 11,660 and 17,540

Step by Step Solution

1. Step 1: Write the proportion equation
   11,660 : 17,540 = 17,540 : x
2. Step 2: Convert to fraction form
   11,660/17,540 = 17,540/x
3. Step 3: Cross multiply
   11,660x = 17,540 × 17,540
4. Step 4: Simplify right side
   11,660x = 307,651,600
5. Step 5: Solve for x
   x = 307,651,600/11,660
6. Step 6: Final answer
   x = 26,385.21