Finding the Third Proportional to 2,574 and 5,643

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574 : 5,643 = 5,643 : x
2. Step 2: Convert to fraction form
   2,574/5,643 = 5,643/x
3. Step 3: Cross multiply
   2,574x = 5,643 × 5,643
4. Step 4: Simplify right side
   2,574x = 31,843,449
5. Step 5: Solve for x
   x = 31,843,449/2,574
6. Step 6: Final answer
   x = 12,371.19