Finding the Third Proportional to 2,223.75 and 4,748.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,223.75 : 4,748.25 = 4,748.25 : x
2. Step 2: Convert to fraction form
   2,223.75/4,748.25 = 4,748.25/x
3. Step 3: Cross multiply
   2,223.75x = 4,748.25 × 4,748.25
4. Step 4: Simplify right side
   2,223.75x = 22,545,878.06
5. Step 5: Solve for x
   x = 22,545,878.06/2,223.75
6. Step 6: Final answer
   x = 10,138.67