Finding the Third Proportional to 2,269.13 and 3,470.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,269.13 : 3,470.63 = 3,470.63 : x
2. Step 2: Convert to fraction form
   2,269.13/3,470.63 = 3,470.63/x
3. Step 3: Cross multiply
   2,269.13x = 3,470.63 × 3,470.63
4. Step 4: Simplify right side
   2,269.13x = 12,045,237.89
5. Step 5: Solve for x
   x = 12,045,237.89/2,269.13
6. Step 6: Final answer
   x = 5,308.32