Finding the Third Proportional to 3,096 and 5,724

Step by Step Solution

1. Step 1: Write the proportion equation
   3,096 : 5,724 = 5,724 : x
2. Step 2: Convert to fraction form
   3,096/5,724 = 5,724/x
3. Step 3: Cross multiply
   3,096x = 5,724 × 5,724
4. Step 4: Simplify right side
   3,096x = 32,764,176
5. Step 5: Solve for x
   x = 32,764,176/3,096
6. Step 6: Final answer
   x = 10,582.74