Finding the Third Proportional to 2,106.42 and 3,280.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106.42 : 3,280.92 = 3,280.92 : x
2. Step 2: Convert to fraction form
   2,106.42/3,280.92 = 3,280.92/x
3. Step 3: Cross multiply
   2,106.42x = 3,280.92 × 3,280.92
4. Step 4: Simplify right side
   2,106.42x = 10,764,448.35
5. Step 5: Solve for x
   x = 10,764,448.35/2,106.42
6. Step 6: Final answer
   x = 5,110.30