Finding the Third Proportional to 2,019.50 and 4,120

Step by Step Solution

1. Step 1: Write the proportion equation
   2,019.50 : 4,120 = 4,120 : x
2. Step 2: Convert to fraction form
   2,019.50/4,120 = 4,120/x
3. Step 3: Cross multiply
   2,019.50x = 4,120 × 4,120
4. Step 4: Simplify right side
   2,019.50x = 16,974,400
5. Step 5: Solve for x
   x = 16,974,400/2,019.50
6. Step 6: Final answer
   x = 8,405.25