Finding the Third Proportional to 3,019.75 and 5,304.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,019.75 : 5,304.50 = 5,304.50 : x
2. Step 2: Convert to fraction form
   3,019.75/5,304.50 = 5,304.50/x
3. Step 3: Cross multiply
   3,019.75x = 5,304.50 × 5,304.50
4. Step 4: Simplify right side
   3,019.75x = 28,137,720.25
5. Step 5: Solve for x
   x = 28,137,720.25/3,019.75
6. Step 6: Final answer
   x = 9,317.90