Finding the Third Proportional to 2,205.69 and 3,243.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,205.69 : 3,243.66 = 3,243.66 : x
2. Step 2: Convert to fraction form
   2,205.69/3,243.66 = 3,243.66/x
3. Step 3: Cross multiply
   2,205.69x = 3,243.66 × 3,243.66
4. Step 4: Simplify right side
   2,205.69x = 10,521,320.12
5. Step 5: Solve for x
   x = 10,521,320.12/2,205.69
6. Step 6: Final answer
   x = 4,770.09