Finding the Third Proportional to 11,142 and 24,123

Step by Step Solution

1. Step 1: Write the proportion equation
   11,142 : 24,123 = 24,123 : x
2. Step 2: Convert to fraction form
   11,142/24,123 = 24,123/x
3. Step 3: Cross multiply
   11,142x = 24,123 × 24,123
4. Step 4: Simplify right side
   11,142x = 581,919,129
5. Step 5: Solve for x
   x = 581,919,129/11,142
6. Step 6: Final answer
   x = 52,227.53