Finding the Third Proportional to 2,524 and 5,857

Step by Step Solution

1. Step 1: Write the proportion equation
   2,524 : 5,857 = 5,857 : x
2. Step 2: Convert to fraction form
   2,524/5,857 = 5,857/x
3. Step 3: Cross multiply
   2,524x = 5,857 × 5,857
4. Step 4: Simplify right side
   2,524x = 34,304,449
5. Step 5: Solve for x
   x = 34,304,449/2,524
6. Step 6: Final answer
   x = 13,591.30