Finding the Third Proportional to 2,189.69 and 3,399.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,189.69 : 3,399.69 = 3,399.69 : x
2. Step 2: Convert to fraction form
   2,189.69/3,399.69 = 3,399.69/x
3. Step 3: Cross multiply
   2,189.69x = 3,399.69 × 3,399.69
4. Step 4: Simplify right side
   2,189.69x = 11,557,875.10
5. Step 5: Solve for x
   x = 11,557,875.10/2,189.69
6. Step 6: Final answer
   x = 5,278.32