Finding the Third Proportional to 2,022.38 and 3,228.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,022.38 : 3,228.56 = 3,228.56 : x
2. Step 2: Convert to fraction form
   2,022.38/3,228.56 = 3,228.56/x
3. Step 3: Cross multiply
   2,022.38x = 3,228.56 × 3,228.56
4. Step 4: Simplify right side
   2,022.38x = 10,423,615.82
5. Step 5: Solve for x
   x = 10,423,615.82/2,022.38
6. Step 6: Final answer
   x = 5,154.15