Finding the Third Proportional to 2,828 and 3,568

Step by Step Solution

1. Step 1: Write the proportion equation
   2,828 : 3,568 = 3,568 : x
2. Step 2: Convert to fraction form
   2,828/3,568 = 3,568/x
3. Step 3: Cross multiply
   2,828x = 3,568 × 3,568
4. Step 4: Simplify right side
   2,828x = 12,730,624
5. Step 5: Solve for x
   x = 12,730,624/2,828
6. Step 6: Final answer
   x = 4,501.64