Finding the Third Proportional to 2,019 and 4,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,019 : 4,507.50 = 4,507.50 : x
2. Step 2: Convert to fraction form
   2,019/4,507.50 = 4,507.50/x
3. Step 3: Cross multiply
   2,019x = 4,507.50 × 4,507.50
4. Step 4: Simplify right side
   2,019x = 20,317,556.25
5. Step 5: Solve for x
   x = 20,317,556.25/2,019
6. Step 6: Final answer
   x = 10,063.18