Finding the Third Proportional to 2,198.81 and 3,400.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,198.81 : 3,400.31 = 3,400.31 : x
2. Step 2: Convert to fraction form
   2,198.81/3,400.31 = 3,400.31/x
3. Step 3: Cross multiply
   2,198.81x = 3,400.31 × 3,400.31
4. Step 4: Simplify right side
   2,198.81x = 11,562,125.10
5. Step 5: Solve for x
   x = 11,562,125.10/2,198.81
6. Step 6: Final answer
   x = 5,258.35