Finding the Third Proportional to 4,923.75 and 7,223.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,923.75 : 7,223.25 = 7,223.25 : x
2. Step 2: Convert to fraction form
   4,923.75/7,223.25 = 7,223.25/x
3. Step 3: Cross multiply
   4,923.75x = 7,223.25 × 7,223.25
4. Step 4: Simplify right side
   4,923.75x = 52,175,340.56
5. Step 5: Solve for x
   x = 52,175,340.56/4,923.75
6. Step 6: Final answer
   x = 10,596.67