Finding the Third Proportional to 2,574.56 and 5,537.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574.56 : 5,537.25 = 5,537.25 : x
2. Step 2: Convert to fraction form
   2,574.56/5,537.25 = 5,537.25/x
3. Step 3: Cross multiply
   2,574.56x = 5,537.25 × 5,537.25
4. Step 4: Simplify right side
   2,574.56x = 30,661,137.56
5. Step 5: Solve for x
   x = 30,661,137.56/2,574.56
6. Step 6: Final answer
   x = 11,909.26