Finding the Third Proportional to 2,540 and 3,868

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540 : 3,868 = 3,868 : x
2. Step 2: Convert to fraction form
   2,540/3,868 = 3,868/x
3. Step 3: Cross multiply
   2,540x = 3,868 × 3,868
4. Step 4: Simplify right side
   2,540x = 14,961,424
5. Step 5: Solve for x
   x = 14,961,424/2,540
6. Step 6: Final answer
   x = 5,890.32