Finding the Third Proportional to 2,574 and 5,567.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574 : 5,567.25 = 5,567.25 : x
2. Step 2: Convert to fraction form
   2,574/5,567.25 = 5,567.25/x
3. Step 3: Cross multiply
   2,574x = 5,567.25 × 5,567.25
4. Step 4: Simplify right side
   2,574x = 30,994,272.56
5. Step 5: Solve for x
   x = 30,994,272.56/2,574
6. Step 6: Final answer
   x = 12,041.29