Finding the Third Proportional to 5,872 and 13,142

Step by Step Solution

1. Step 1: Write the proportion equation
   5,872 : 13,142 = 13,142 : x
2. Step 2: Convert to fraction form
   5,872/13,142 = 13,142/x
3. Step 3: Cross multiply
   5,872x = 13,142 × 13,142
4. Step 4: Simplify right side
   5,872x = 172,712,164
5. Step 5: Solve for x
   x = 172,712,164/5,872
6. Step 6: Final answer
   x = 29,412.83