Finding the Third Proportional to 2,227.25 and 4,758.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,227.25 : 4,758.25 = 4,758.25 : x
2. Step 2: Convert to fraction form
   2,227.25/4,758.25 = 4,758.25/x
3. Step 3: Cross multiply
   2,227.25x = 4,758.25 × 4,758.25
4. Step 4: Simplify right side
   2,227.25x = 22,640,943.06
5. Step 5: Solve for x
   x = 22,640,943.06/2,227.25
6. Step 6: Final answer
   x = 10,165.43