Finding the Third Proportional to 2,816 and 4,096

Step by Step Solution

1. Step 1: Write the proportion equation
   2,816 : 4,096 = 4,096 : x
2. Step 2: Convert to fraction form
   2,816/4,096 = 4,096/x
3. Step 3: Cross multiply
   2,816x = 4,096 × 4,096
4. Step 4: Simplify right side
   2,816x = 16,777,216
5. Step 5: Solve for x
   x = 16,777,216/2,816
6. Step 6: Final answer
   x = 5,957.82