Finding the Third Proportional to 2,569 and 5,618

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569 : 5,618 = 5,618 : x
2. Step 2: Convert to fraction form
   2,569/5,618 = 5,618/x
3. Step 3: Cross multiply
   2,569x = 5,618 × 5,618
4. Step 4: Simplify right side
   2,569x = 31,561,924
5. Step 5: Solve for x
   x = 31,561,924/2,569
6. Step 6: Final answer
   x = 12,285.68