Finding the Third Proportional to 2,269 and 3,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,269 : 3,223.50 = 3,223.50 : x
2. Step 2: Convert to fraction form
   2,269/3,223.50 = 3,223.50/x
3. Step 3: Cross multiply
   2,269x = 3,223.50 × 3,223.50
4. Step 4: Simplify right side
   2,269x = 10,390,952.25
5. Step 5: Solve for x
   x = 10,390,952.25/2,269
6. Step 6: Final answer
   x = 4,579.53