Finding the Third Proportional to 1,027.69 and 2,004.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027.69 : 2,004.12 = 2,004.12 : x
2. Step 2: Convert to fraction form
   1,027.69/2,004.12 = 2,004.12/x
3. Step 3: Cross multiply
   1,027.69x = 2,004.12 × 2,004.12
4. Step 4: Simplify right side
   1,027.69x = 4,016,485.70
5. Step 5: Solve for x
   x = 4,016,485.70/1,027.69
6. Step 6: Final answer
   x = 3,908.28