Finding the Third Proportional to 2,205 and 2,414.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,205 : 2,414.25 = 2,414.25 : x
2. Step 2: Convert to fraction form
   2,205/2,414.25 = 2,414.25/x
3. Step 3: Cross multiply
   2,205x = 2,414.25 × 2,414.25
4. Step 4: Simplify right side
   2,205x = 5,828,603.06
5. Step 5: Solve for x
   x = 5,828,603.06/2,205
6. Step 6: Final answer
   x = 2,643.36