Finding the Third Proportional to 2,824.88 and 3,872.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,824.88 : 3,872.81 = 3,872.81 : x
2. Step 2: Convert to fraction form
   2,824.88/3,872.81 = 3,872.81/x
3. Step 3: Cross multiply
   2,824.88x = 3,872.81 × 3,872.81
4. Step 4: Simplify right side
   2,824.88x = 14,998,676.66
5. Step 5: Solve for x
   x = 14,998,676.66/2,824.88
6. Step 6: Final answer
   x = 5,309.50