Finding the Third Proportional to 2,066.25 and 4,550.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,066.25 : 4,550.75 = 4,550.75 : x
2. Step 2: Convert to fraction form
   2,066.25/4,550.75 = 4,550.75/x
3. Step 3: Cross multiply
   2,066.25x = 4,550.75 × 4,550.75
4. Step 4: Simplify right side
   2,066.25x = 20,709,325.56
5. Step 5: Solve for x
   x = 20,709,325.56/2,066.25
6. Step 6: Final answer
   x = 10,022.66