Finding the Third Proportional to 11,662 and 17,543

Step by Step Solution

1. Step 1: Write the proportion equation
   11,662 : 17,543 = 17,543 : x
2. Step 2: Convert to fraction form
   11,662/17,543 = 17,543/x
3. Step 3: Cross multiply
   11,662x = 17,543 × 17,543
4. Step 4: Simplify right side
   11,662x = 307,756,849
5. Step 5: Solve for x
   x = 307,756,849/11,662
6. Step 6: Final answer
   x = 26,389.71