Finding the Third Proportional to 2,138.10 and 3,198.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.10 : 3,198.59 = 3,198.59 : x
2. Step 2: Convert to fraction form
   2,138.10/3,198.59 = 3,198.59/x
3. Step 3: Cross multiply
   2,138.10x = 3,198.59 × 3,198.59
4. Step 4: Simplify right side
   2,138.10x = 10,230,952.00
5. Step 5: Solve for x
   x = 10,230,952.00/2,138.10
6. Step 6: Final answer
   x = 4,785.07