Finding the Third Proportional to 3,891 and 5,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,891 : 5,314.50 = 5,314.50 : x
2. Step 2: Convert to fraction form
   3,891/5,314.50 = 5,314.50/x
3. Step 3: Cross multiply
   3,891x = 5,314.50 × 5,314.50
4. Step 4: Simplify right side
   3,891x = 28,243,910.25
5. Step 5: Solve for x
   x = 28,243,910.25/3,891
6. Step 6: Final answer
   x = 7,258.78