Finding the Third Proportional to 1,027.38 and 2,054.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027.38 : 2,054.75 = 2,054.75 : x
2. Step 2: Convert to fraction form
   1,027.38/2,054.75 = 2,054.75/x
3. Step 3: Cross multiply
   1,027.38x = 2,054.75 × 2,054.75
4. Step 4: Simplify right side
   1,027.38x = 4,221,997.56
5. Step 5: Solve for x
   x = 4,221,997.56/1,027.38
6. Step 6: Final answer
   x = 4,109.50