Finding the Third Proportional to 2,019.50 and 4,437.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,019.50 : 4,437.25 = 4,437.25 : x
2. Step 2: Convert to fraction form
   2,019.50/4,437.25 = 4,437.25/x
3. Step 3: Cross multiply
   2,019.50x = 4,437.25 × 4,437.25
4. Step 4: Simplify right side
   2,019.50x = 19,689,187.56
5. Step 5: Solve for x
   x = 19,689,187.56/2,019.50
6. Step 6: Final answer
   x = 9,749.54