Finding the Third Proportional to 2,204 and 3,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,204 : 3,415.50 = 3,415.50 : x
2. Step 2: Convert to fraction form
   2,204/3,415.50 = 3,415.50/x
3. Step 3: Cross multiply
   2,204x = 3,415.50 × 3,415.50
4. Step 4: Simplify right side
   2,204x = 11,665,640.25
5. Step 5: Solve for x
   x = 11,665,640.25/2,204
6. Step 6: Final answer
   x = 5,292.94