Finding the Third Proportional to 2,658.94 and 5,724.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,658.94 : 5,724.56 = 5,724.56 : x
2. Step 2: Convert to fraction form
   2,658.94/5,724.56 = 5,724.56/x
3. Step 3: Cross multiply
   2,658.94x = 5,724.56 × 5,724.56
4. Step 4: Simplify right side
   2,658.94x = 32,770,615.82
5. Step 5: Solve for x
   x = 32,770,615.82/2,658.94
6. Step 6: Final answer
   x = 12,324.70