Finding the Third Proportional to 2,153.16 and 3,229.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,153.16 : 3,229.78 = 3,229.78 : x
2. Step 2: Convert to fraction form
   2,153.16/3,229.78 = 3,229.78/x
3. Step 3: Cross multiply
   2,153.16x = 3,229.78 × 3,229.78
4. Step 4: Simplify right side
   2,153.16x = 10,431,486.92
5. Step 5: Solve for x
   x = 10,431,486.92/2,153.16
6. Step 6: Final answer
   x = 4,844.74