Finding the Third Proportional to 4,568 and 5,096

Step by Step Solution

1. Step 1: Write the proportion equation
   4,568 : 5,096 = 5,096 : x
2. Step 2: Convert to fraction form
   4,568/5,096 = 5,096/x
3. Step 3: Cross multiply
   4,568x = 5,096 × 5,096
4. Step 4: Simplify right side
   4,568x = 25,969,216
5. Step 5: Solve for x
   x = 25,969,216/4,568
6. Step 6: Final answer
   x = 5,685.03