Finding the Third Proportional to 11,142 and 16,674

Step by Step Solution

1. Step 1: Write the proportion equation
   11,142 : 16,674 = 16,674 : x
2. Step 2: Convert to fraction form
   11,142/16,674 = 16,674/x
3. Step 3: Cross multiply
   11,142x = 16,674 × 16,674
4. Step 4: Simplify right side
   11,142x = 278,022,276
5. Step 5: Solve for x
   x = 278,022,276/11,142
6. Step 6: Final answer
   x = 24,952.64