Finding the Third Proportional to 2,269.50 and 3,470.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,269.50 : 3,470.25 = 3,470.25 : x
2. Step 2: Convert to fraction form
   2,269.50/3,470.25 = 3,470.25/x
3. Step 3: Cross multiply
   2,269.50x = 3,470.25 × 3,470.25
4. Step 4: Simplify right side
   2,269.50x = 12,042,635.06
5. Step 5: Solve for x
   x = 12,042,635.06/2,269.50
6. Step 6: Final answer
   x = 5,306.29