Finding the Third Proportional to 2,825.72 and 4,115.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,825.72 : 4,115.81 = 4,115.81 : x
2. Step 2: Convert to fraction form
   2,825.72/4,115.81 = 4,115.81/x
3. Step 3: Cross multiply
   2,825.72x = 4,115.81 × 4,115.81
4. Step 4: Simplify right side
   2,825.72x = 16,939,912.54
5. Step 5: Solve for x
   x = 16,939,912.54/2,825.72
6. Step 6: Final answer
   x = 5,994.90