Finding the Third Proportional to 3,882 and 5,568

Step by Step Solution

1. Step 1: Write the proportion equation
   3,882 : 5,568 = 5,568 : x
2. Step 2: Convert to fraction form
   3,882/5,568 = 5,568/x
3. Step 3: Cross multiply
   3,882x = 5,568 × 5,568
4. Step 4: Simplify right side
   3,882x = 31,002,624
5. Step 5: Solve for x
   x = 31,002,624/3,882
6. Step 6: Final answer
   x = 7,986.25