Finding the Third Proportional to 2,582 and 3,856

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582 : 3,856 = 3,856 : x
2. Step 2: Convert to fraction form
   2,582/3,856 = 3,856/x
3. Step 3: Cross multiply
   2,582x = 3,856 × 3,856
4. Step 4: Simplify right side
   2,582x = 14,868,736
5. Step 5: Solve for x
   x = 14,868,736/2,582
6. Step 6: Final answer
   x = 5,758.61