Finding the Third Proportional to 2,568 and 3,858

Step by Step Solution

1. Step 1: Write the proportion equation
   2,568 : 3,858 = 3,858 : x
2. Step 2: Convert to fraction form
   2,568/3,858 = 3,858/x
3. Step 3: Cross multiply
   2,568x = 3,858 × 3,858
4. Step 4: Simplify right side
   2,568x = 14,884,164
5. Step 5: Solve for x
   x = 14,884,164/2,568
6. Step 6: Final answer
   x = 5,796.01