Finding the Third Proportional to 3,917 and 5,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,917 : 5,728.50 = 5,728.50 : x
2. Step 2: Convert to fraction form
   3,917/5,728.50 = 5,728.50/x
3. Step 3: Cross multiply
   3,917x = 5,728.50 × 5,728.50
4. Step 4: Simplify right side
   3,917x = 32,815,712.25
5. Step 5: Solve for x
   x = 32,815,712.25/3,917
6. Step 6: Final answer
   x = 8,377.77