Finding the Third Proportional to 3,825.94 and 7,857.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,825.94 : 7,857.56 = 7,857.56 : x
2. Step 2: Convert to fraction form
   3,825.94/7,857.56 = 7,857.56/x
3. Step 3: Cross multiply
   3,825.94x = 7,857.56 × 7,857.56
4. Step 4: Simplify right side
   3,825.94x = 61,741,288.44
5. Step 5: Solve for x
   x = 61,741,288.44/3,825.94
6. Step 6: Final answer
   x = 16,137.56