Finding the Third Proportional to 3,813.96 and 7,872.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,813.96 : 7,872.82 = 7,872.82 : x
2. Step 2: Convert to fraction form
   3,813.96/7,872.82 = 7,872.82/x
3. Step 3: Cross multiply
   3,813.96x = 7,872.82 × 7,872.82
4. Step 4: Simplify right side
   3,813.96x = 61,981,299.67
5. Step 5: Solve for x
   x = 61,981,299.67/3,813.96
6. Step 6: Final answer
   x = 16,251.16