Finding the Third Proportional to 2,106 and 3,228.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106 : 3,228.75 = 3,228.75 : x
2. Step 2: Convert to fraction form
   2,106/3,228.75 = 3,228.75/x
3. Step 3: Cross multiply
   2,106x = 3,228.75 × 3,228.75
4. Step 4: Simplify right side
   2,106x = 10,424,826.56
5. Step 5: Solve for x
   x = 10,424,826.56/2,106
6. Step 6: Final answer
   x = 4,950.06