Finding the Third Proportional to 2,628 and 4,120.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,628 : 4,120.50 = 4,120.50 : x
2. Step 2: Convert to fraction form
   2,628/4,120.50 = 4,120.50/x
3. Step 3: Cross multiply
   2,628x = 4,120.50 × 4,120.50
4. Step 4: Simplify right side
   2,628x = 16,978,520.25
5. Step 5: Solve for x
   x = 16,978,520.25/2,628
6. Step 6: Final answer
   x = 6,460.62