Finding the Third Proportional to 11,142 and 16,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,142 : 16,663.50 = 16,663.50 : x
2. Step 2: Convert to fraction form
   11,142/16,663.50 = 16,663.50/x
3. Step 3: Cross multiply
   11,142x = 16,663.50 × 16,663.50
4. Step 4: Simplify right side
   11,142x = 277,672,232.25
5. Step 5: Solve for x
   x = 277,672,232.25/11,142
6. Step 6: Final answer
   x = 24,921.22