Finding the Third Proportional to 5,139 and 11,142

Step by Step Solution

1. Step 1: Write the proportion equation
   5,139 : 11,142 = 11,142 : x
2. Step 2: Convert to fraction form
   5,139/11,142 = 11,142/x
3. Step 3: Cross multiply
   5,139x = 11,142 × 11,142
4. Step 4: Simplify right side
   5,139x = 124,144,164
5. Step 5: Solve for x
   x = 124,144,164/5,139
6. Step 6: Final answer
   x = 24,157.26