Finding the Third Proportional to 2,024 and 3,096

Step by Step Solution

1. Step 1: Write the proportion equation
   2,024 : 3,096 = 3,096 : x
2. Step 2: Convert to fraction form
   2,024/3,096 = 3,096/x
3. Step 3: Cross multiply
   2,024x = 3,096 × 3,096
4. Step 4: Simplify right side
   2,024x = 9,585,216
5. Step 5: Solve for x
   x = 9,585,216/2,024
6. Step 6: Final answer
   x = 4,735.78