Finding the Third Proportional to 2,105.16 and 4,558.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.16 : 4,558.78 = 4,558.78 : x
2. Step 2: Convert to fraction form
   2,105.16/4,558.78 = 4,558.78/x
3. Step 3: Cross multiply
   2,105.16x = 4,558.78 × 4,558.78
4. Step 4: Simplify right side
   2,105.16x = 20,782,486.49
5. Step 5: Solve for x
   x = 20,782,486.49/2,105.16
6. Step 6: Final answer
   x = 9,872.18