Finding the Third Proportional to 2,205 and 3,421.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,205 : 3,421.69 = 3,421.69 : x
2. Step 2: Convert to fraction form
   2,205/3,421.69 = 3,421.69/x
3. Step 3: Cross multiply
   2,205x = 3,421.69 × 3,421.69
4. Step 4: Simplify right side
   2,205x = 11,707,945.35
5. Step 5: Solve for x
   x = 11,707,945.35/2,205
6. Step 6: Final answer
   x = 5,309.73