Finding the Third Proportional to 2,826 and 4,110.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,826 : 4,110.50 = 4,110.50 : x
2. Step 2: Convert to fraction form
   2,826/4,110.50 = 4,110.50/x
3. Step 3: Cross multiply
   2,826x = 4,110.50 × 4,110.50
4. Step 4: Simplify right side
   2,826x = 16,896,210.25
5. Step 5: Solve for x
   x = 16,896,210.25/2,826
6. Step 6: Final answer
   x = 5,978.84