Finding the Third Proportional to 2,028.96 and 3,976.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,028.96 : 3,976.75 = 3,976.75 : x
2. Step 2: Convert to fraction form
   2,028.96/3,976.75 = 3,976.75/x
3. Step 3: Cross multiply
   2,028.96x = 3,976.75 × 3,976.75
4. Step 4: Simplify right side
   2,028.96x = 15,814,556.10
5. Step 5: Solve for x
   x = 15,814,556.10/2,028.96
6. Step 6: Final answer
   x = 7,794.43