Finding the Third Proportional to 2,376 and 5,757

Step by Step Solution

1. Step 1: Write the proportion equation
   2,376 : 5,757 = 5,757 : x
2. Step 2: Convert to fraction form
   2,376/5,757 = 5,757/x
3. Step 3: Cross multiply
   2,376x = 5,757 × 5,757
4. Step 4: Simplify right side
   2,376x = 33,143,049
5. Step 5: Solve for x
   x = 33,143,049/2,376
6. Step 6: Final answer
   x = 13,949.09