Finding the Third Proportional to 2,345.50 and 5,019.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,345.50 : 5,019.25 = 5,019.25 : x
2. Step 2: Convert to fraction form
   2,345.50/5,019.25 = 5,019.25/x
3. Step 3: Cross multiply
   2,345.50x = 5,019.25 × 5,019.25
4. Step 4: Simplify right side
   2,345.50x = 25,192,870.56
5. Step 5: Solve for x
   x = 25,192,870.56/2,345.50
6. Step 6: Final answer
   x = 10,740.94