Finding the Third Proportional to 1,026.56 and 2,027.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.56 : 2,027.81 = 2,027.81 : x
2. Step 2: Convert to fraction form
   1,026.56/2,027.81 = 2,027.81/x
3. Step 3: Cross multiply
   1,026.56x = 2,027.81 × 2,027.81
4. Step 4: Simplify right side
   1,026.56x = 4,112,023.54
5. Step 5: Solve for x
   x = 4,112,023.54/1,026.56
6. Step 6: Final answer
   x = 4,005.62