Finding the Third Proportional to 2,709 and 5,782

Step by Step Solution

1. Step 1: Write the proportion equation
   2,709 : 5,782 = 5,782 : x
2. Step 2: Convert to fraction form
   2,709/5,782 = 5,782/x
3. Step 3: Cross multiply
   2,709x = 5,782 × 5,782
4. Step 4: Simplify right side
   2,709x = 33,431,524
5. Step 5: Solve for x
   x = 33,431,524/2,709
6. Step 6: Final answer
   x = 12,340.91