Finding the Third Proportional to 2,722.50 and 4,223.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,722.50 : 4,223.25 = 4,223.25 : x
2. Step 2: Convert to fraction form
   2,722.50/4,223.25 = 4,223.25/x
3. Step 3: Cross multiply
   2,722.50x = 4,223.25 × 4,223.25
4. Step 4: Simplify right side
   2,722.50x = 17,835,840.56
5. Step 5: Solve for x
   x = 17,835,840.56/2,722.50
6. Step 6: Final answer
   x = 6,551.27