Finding the Third Proportional to 2,269.13 and 3,470.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,269.13 : 3,470.06 = 3,470.06 : x
2. Step 2: Convert to fraction form
   2,269.13/3,470.06 = 3,470.06/x
3. Step 3: Cross multiply
   2,269.13x = 3,470.06 × 3,470.06
4. Step 4: Simplify right side
   2,269.13x = 12,041,333.75
5. Step 5: Solve for x
   x = 12,041,333.75/2,269.13
6. Step 6: Final answer
   x = 5,306.60