Finding the Third Proportional to 2,019.80 and 4,284.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,019.80 : 4,284.14 = 4,284.14 : x
2. Step 2: Convert to fraction form
   2,019.80/4,284.14 = 4,284.14/x
3. Step 3: Cross multiply
   2,019.80x = 4,284.14 × 4,284.14
4. Step 4: Simplify right side
   2,019.80x = 18,353,860.89
5. Step 5: Solve for x
   x = 18,353,860.89/2,019.80
6. Step 6: Final answer
   x = 9,086.98