Finding the Third Proportional to 14,142 and 20,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,142 : 20,105.50 = 20,105.50 : x
2. Step 2: Convert to fraction form
   14,142/20,105.50 = 20,105.50/x
3. Step 3: Cross multiply
   14,142x = 20,105.50 × 20,105.50
4. Step 4: Simplify right side
   14,142x = 404,231,130.25
5. Step 5: Solve for x
   x = 404,231,130.25/14,142
6. Step 6: Final answer
   x = 28,583.73