Finding the Third Proportional to 11,524 and 16,662

Step by Step Solution

1. Step 1: Write the proportion equation
   11,524 : 16,662 = 16,662 : x
2. Step 2: Convert to fraction form
   11,524/16,662 = 16,662/x
3. Step 3: Cross multiply
   11,524x = 16,662 × 16,662
4. Step 4: Simplify right side
   11,524x = 277,622,244
5. Step 5: Solve for x
   x = 277,622,244/11,524
6. Step 6: Final answer
   x = 24,090.79