Finding the Third Proportional to 2,138.38 and 3,198.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.38 : 3,198.88 = 3,198.88 : x
2. Step 2: Convert to fraction form
   2,138.38/3,198.88 = 3,198.88/x
3. Step 3: Cross multiply
   2,138.38x = 3,198.88 × 3,198.88
4. Step 4: Simplify right side
   2,138.38x = 10,232,801.27
5. Step 5: Solve for x
   x = 10,232,801.27/2,138.38
6. Step 6: Final answer
   x = 4,785.32