Finding the Third Proportional to 3,826 and 7,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,826 : 7,896.50 = 7,896.50 : x
2. Step 2: Convert to fraction form
   3,826/7,896.50 = 7,896.50/x
3. Step 3: Cross multiply
   3,826x = 7,896.50 × 7,896.50
4. Step 4: Simplify right side
   3,826x = 62,354,712.25
5. Step 5: Solve for x
   x = 62,354,712.25/3,826
6. Step 6: Final answer
   x = 16,297.62