Finding the Third Proportional to 2,269.50 and 3,211.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,269.50 : 3,211.50 = 3,211.50 : x
2. Step 2: Convert to fraction form
   2,269.50/3,211.50 = 3,211.50/x
3. Step 3: Cross multiply
   2,269.50x = 3,211.50 × 3,211.50
4. Step 4: Simplify right side
   2,269.50x = 10,313,732.25
5. Step 5: Solve for x
   x = 10,313,732.25/2,269.50
6. Step 6: Final answer
   x = 4,544.50