Finding the Third Proportional to 3,019.78 and 4,667.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,019.78 : 4,667.63 = 4,667.63 : x
2. Step 2: Convert to fraction form
   3,019.78/4,667.63 = 4,667.63/x
3. Step 3: Cross multiply
   3,019.78x = 4,667.63 × 4,667.63
4. Step 4: Simplify right side
   3,019.78x = 21,786,723.14
5. Step 5: Solve for x
   x = 21,786,723.14/3,019.78
6. Step 6: Final answer
   x = 7,214.67