Finding the Third Proportional to 2,138.38 and 3,198.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.38 : 3,198.94 = 3,198.94 : x
2. Step 2: Convert to fraction form
   2,138.38/3,198.94 = 3,198.94/x
3. Step 3: Cross multiply
   2,138.38x = 3,198.94 × 3,198.94
4. Step 4: Simplify right side
   2,138.38x = 10,233,201.13
5. Step 5: Solve for x
   x = 10,233,201.13/2,138.38
6. Step 6: Final answer
   x = 4,785.50