Finding the Third Proportional to 2,586 and 3,864

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586 : 3,864 = 3,864 : x
2. Step 2: Convert to fraction form
   2,586/3,864 = 3,864/x
3. Step 3: Cross multiply
   2,586x = 3,864 × 3,864
4. Step 4: Simplify right side
   2,586x = 14,930,496
5. Step 5: Solve for x
   x = 14,930,496/2,586
6. Step 6: Final answer
   x = 5,773.59