Finding the Third Proportional to 2,105.44 and 3,222.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.44 : 3,222.56 = 3,222.56 : x
2. Step 2: Convert to fraction form
   2,105.44/3,222.56 = 3,222.56/x
3. Step 3: Cross multiply
   2,105.44x = 3,222.56 × 3,222.56
4. Step 4: Simplify right side
   2,105.44x = 10,384,909.07
5. Step 5: Solve for x
   x = 10,384,909.07/2,105.44
6. Step 6: Final answer
   x = 4,932.42