Finding the Third Proportional to 2,108 and 3,222.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,108 : 3,222.75 = 3,222.75 : x
2. Step 2: Convert to fraction form
   2,108/3,222.75 = 3,222.75/x
3. Step 3: Cross multiply
   2,108x = 3,222.75 × 3,222.75
4. Step 4: Simplify right side
   2,108x = 10,386,117.56
5. Step 5: Solve for x
   x = 10,386,117.56/2,108
6. Step 6: Final answer
   x = 4,927.00