Finding the Third Proportional to 2,816 and 5,722

Step by Step Solution

1. Step 1: Write the proportion equation
   2,816 : 5,722 = 5,722 : x
2. Step 2: Convert to fraction form
   2,816/5,722 = 5,722/x
3. Step 3: Cross multiply
   2,816x = 5,722 × 5,722
4. Step 4: Simplify right side
   2,816x = 32,741,284
5. Step 5: Solve for x
   x = 32,741,284/2,816
6. Step 6: Final answer
   x = 11,626.88