Finding the Third Proportional to 2,198 and 3,238

Step by Step Solution

1. Step 1: Write the proportion equation
   2,198 : 3,238 = 3,238 : x
2. Step 2: Convert to fraction form
   2,198/3,238 = 3,238/x
3. Step 3: Cross multiply
   2,198x = 3,238 × 3,238
4. Step 4: Simplify right side
   2,198x = 10,484,644
5. Step 5: Solve for x
   x = 10,484,644/2,198
6. Step 6: Final answer
   x = 4,770.08