Finding the Third Proportional to 2,009.25 and 4,314.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009.25 : 4,314.75 = 4,314.75 : x
2. Step 2: Convert to fraction form
   2,009.25/4,314.75 = 4,314.75/x
3. Step 3: Cross multiply
   2,009.25x = 4,314.75 × 4,314.75
4. Step 4: Simplify right side
   2,009.25x = 18,617,067.56
5. Step 5: Solve for x
   x = 18,617,067.56/2,009.25
6. Step 6: Final answer
   x = 9,265.68