Finding the Third Proportional to 2,566 and 5,628

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566 : 5,628 = 5,628 : x
2. Step 2: Convert to fraction form
   2,566/5,628 = 5,628/x
3. Step 3: Cross multiply
   2,566x = 5,628 × 5,628
4. Step 4: Simplify right side
   2,566x = 31,674,384
5. Step 5: Solve for x
   x = 31,674,384/2,566
6. Step 6: Final answer
   x = 12,343.88