Finding the Third Proportional to 2,040 and 3,204

Step by Step Solution

1. Step 1: Write the proportion equation
   2,040 : 3,204 = 3,204 : x
2. Step 2: Convert to fraction form
   2,040/3,204 = 3,204/x
3. Step 3: Cross multiply
   2,040x = 3,204 × 3,204
4. Step 4: Simplify right side
   2,040x = 10,265,616
5. Step 5: Solve for x
   x = 10,265,616/2,040
6. Step 6: Final answer
   x = 5,032.16