Finding the Third Proportional to 2,294 and 3,578

Step by Step Solution

1. Step 1: Write the proportion equation
   2,294 : 3,578 = 3,578 : x
2. Step 2: Convert to fraction form
   2,294/3,578 = 3,578/x
3. Step 3: Cross multiply
   2,294x = 3,578 × 3,578
4. Step 4: Simplify right side
   2,294x = 12,802,084
5. Step 5: Solve for x
   x = 12,802,084/2,294
6. Step 6: Final answer
   x = 5,580.68