Finding the Third Proportional to 2,288.25 and 3,574.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,288.25 : 3,574.13 = 3,574.13 : x
2. Step 2: Convert to fraction form
   2,288.25/3,574.13 = 3,574.13/x
3. Step 3: Cross multiply
   2,288.25x = 3,574.13 × 3,574.13
4. Step 4: Simplify right side
   2,288.25x = 12,774,369.52
5. Step 5: Solve for x
   x = 12,774,369.52/2,288.25
6. Step 6: Final answer
   x = 5,582.59