Finding the Third Proportional to 1,028.91 and 2,005.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.91 : 2,005.69 = 2,005.69 : x
2. Step 2: Convert to fraction form
   1,028.91/2,005.69 = 2,005.69/x
3. Step 3: Cross multiply
   1,028.91x = 2,005.69 × 2,005.69
4. Step 4: Simplify right side
   1,028.91x = 4,022,782.35
5. Step 5: Solve for x
   x = 4,022,782.35/1,028.91
6. Step 6: Final answer
   x = 3,909.77