Finding the Third Proportional to 2,694 and 5,757

Step by Step Solution

1. Step 1: Write the proportion equation
   2,694 : 5,757 = 5,757 : x
2. Step 2: Convert to fraction form
   2,694/5,757 = 5,757/x
3. Step 3: Cross multiply
   2,694x = 5,757 × 5,757
4. Step 4: Simplify right side
   2,694x = 33,143,049
5. Step 5: Solve for x
   x = 33,143,049/2,694
6. Step 6: Final answer
   x = 12,302.54