Finding the Third Proportional to 2,578 and 5,567

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578 : 5,567 = 5,567 : x
2. Step 2: Convert to fraction form
   2,578/5,567 = 5,567/x
3. Step 3: Cross multiply
   2,578x = 5,567 × 5,567
4. Step 4: Simplify right side
   2,578x = 30,991,489
5. Step 5: Solve for x
   x = 30,991,489/2,578
6. Step 6: Final answer
   x = 12,021.52