Finding the Third Proportional to 3,829.78 and 8,198.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,829.78 : 8,198.72 = 8,198.72 : x
2. Step 2: Convert to fraction form
   3,829.78/8,198.72 = 8,198.72/x
3. Step 3: Cross multiply
   3,829.78x = 8,198.72 × 8,198.72
4. Step 4: Simplify right side
   3,829.78x = 67,218,989.14
5. Step 5: Solve for x
   x = 67,218,989.14/3,829.78
6. Step 6: Final answer
   x = 17,551.65