Finding the Third Proportional to 2,078 and 3,288

Step by Step Solution

1. Step 1: Write the proportion equation
   2,078 : 3,288 = 3,288 : x
2. Step 2: Convert to fraction form
   2,078/3,288 = 3,288/x
3. Step 3: Cross multiply
   2,078x = 3,288 × 3,288
4. Step 4: Simplify right side
   2,078x = 10,810,944
5. Step 5: Solve for x
   x = 10,810,944/2,078
6. Step 6: Final answer
   x = 5,202.57