Finding the Third Proportional to 2,452 and 5,872

Step by Step Solution

1. Step 1: Write the proportion equation
   2,452 : 5,872 = 5,872 : x
2. Step 2: Convert to fraction form
   2,452/5,872 = 5,872/x
3. Step 3: Cross multiply
   2,452x = 5,872 × 5,872
4. Step 4: Simplify right side
   2,452x = 34,480,384
5. Step 5: Solve for x
   x = 34,480,384/2,452
6. Step 6: Final answer
   x = 14,062.15