Finding the Third Proportional to 3,019 and 3,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,019 : 3,928.50 = 3,928.50 : x
2. Step 2: Convert to fraction form
   3,019/3,928.50 = 3,928.50/x
3. Step 3: Cross multiply
   3,019x = 3,928.50 × 3,928.50
4. Step 4: Simplify right side
   3,019x = 15,433,112.25
5. Step 5: Solve for x
   x = 15,433,112.25/3,019
6. Step 6: Final answer
   x = 5,111.99