Finding the Third Proportional to 2,028.38 and 3,311.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,028.38 : 3,311.63 = 3,311.63 : x
2. Step 2: Convert to fraction form
   2,028.38/3,311.63 = 3,311.63/x
3. Step 3: Cross multiply
   2,028.38x = 3,311.63 × 3,311.63
4. Step 4: Simplify right side
   2,028.38x = 10,966,860.14
5. Step 5: Solve for x
   x = 10,966,860.14/2,028.38
6. Step 6: Final answer
   x = 5,406.72