Finding the Third Proportional to 2,469 and 3,490.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,469 : 3,490.50 = 3,490.50 : x
2. Step 2: Convert to fraction form
   2,469/3,490.50 = 3,490.50/x
3. Step 3: Cross multiply
   2,469x = 3,490.50 × 3,490.50
4. Step 4: Simplify right side
   2,469x = 12,183,590.25
5. Step 5: Solve for x
   x = 12,183,590.25/2,469
6. Step 6: Final answer
   x = 4,934.63