Finding the Third Proportional to 2,198.81 and 3,178.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,198.81 : 3,178.41 = 3,178.41 : x
2. Step 2: Convert to fraction form
   2,198.81/3,178.41 = 3,178.41/x
3. Step 3: Cross multiply
   2,198.81x = 3,178.41 × 3,178.41
4. Step 4: Simplify right side
   2,198.81x = 10,102,266.29
5. Step 5: Solve for x
   x = 10,102,266.29/2,198.81
6. Step 6: Final answer
   x = 4,594.42