Finding the Third Proportional to 5,464 and 10,568

Step by Step Solution

1. Step 1: Write the proportion equation
   5,464 : 10,568 = 10,568 : x
2. Step 2: Convert to fraction form
   5,464/10,568 = 10,568/x
3. Step 3: Cross multiply
   5,464x = 10,568 × 10,568
4. Step 4: Simplify right side
   5,464x = 111,682,624
5. Step 5: Solve for x
   x = 111,682,624/5,464
6. Step 6: Final answer
   x = 20,439.72