Finding the Third Proportional to 2,540 and 5,795

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540 : 5,795 = 5,795 : x
2. Step 2: Convert to fraction form
   2,540/5,795 = 5,795/x
3. Step 3: Cross multiply
   2,540x = 5,795 × 5,795
4. Step 4: Simplify right side
   2,540x = 33,582,025
5. Step 5: Solve for x
   x = 33,582,025/2,540
6. Step 6: Final answer
   x = 13,221.27