Finding the Third Proportional to 11,540 and 17,642

Step by Step Solution

1. Step 1: Write the proportion equation
   11,540 : 17,642 = 17,642 : x
2. Step 2: Convert to fraction form
   11,540/17,642 = 17,642/x
3. Step 3: Cross multiply
   11,540x = 17,642 × 17,642
4. Step 4: Simplify right side
   11,540x = 311,240,164
5. Step 5: Solve for x
   x = 311,240,164/11,540
6. Step 6: Final answer
   x = 26,970.55