Finding the Third Proportional to 2,838 and 6,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,838 : 6,019.50 = 6,019.50 : x
2. Step 2: Convert to fraction form
   2,838/6,019.50 = 6,019.50/x
3. Step 3: Cross multiply
   2,838x = 6,019.50 × 6,019.50
4. Step 4: Simplify right side
   2,838x = 36,234,380.25
5. Step 5: Solve for x
   x = 36,234,380.25/2,838
6. Step 6: Final answer
   x = 12,767.58