Finding the Third Proportional to 4,019.25 and 6,144.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,019.25 : 6,144.50 = 6,144.50 : x
2. Step 2: Convert to fraction form
   4,019.25/6,144.50 = 6,144.50/x
3. Step 3: Cross multiply
   4,019.25x = 6,144.50 × 6,144.50
4. Step 4: Simplify right side
   4,019.25x = 37,754,880.25
5. Step 5: Solve for x
   x = 37,754,880.25/4,019.25
6. Step 6: Final answer
   x = 9,393.51