Finding the Third Proportional to 2,540 and 3,828

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540 : 3,828 = 3,828 : x
2. Step 2: Convert to fraction form
   2,540/3,828 = 3,828/x
3. Step 3: Cross multiply
   2,540x = 3,828 × 3,828
4. Step 4: Simplify right side
   2,540x = 14,653,584
5. Step 5: Solve for x
   x = 14,653,584/2,540
6. Step 6: Final answer
   x = 5,769.13