Finding the Third Proportional to 2,009 and 3,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009 : 3,293.50 = 3,293.50 : x
2. Step 2: Convert to fraction form
   2,009/3,293.50 = 3,293.50/x
3. Step 3: Cross multiply
   2,009x = 3,293.50 × 3,293.50
4. Step 4: Simplify right side
   2,009x = 10,847,142.25
5. Step 5: Solve for x
   x = 10,847,142.25/2,009
6. Step 6: Final answer
   x = 5,399.27