Finding the Third Proportional to 3,038 and 4,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,038 : 4,667.50 = 4,667.50 : x
2. Step 2: Convert to fraction form
   3,038/4,667.50 = 4,667.50/x
3. Step 3: Cross multiply
   3,038x = 4,667.50 × 4,667.50
4. Step 4: Simplify right side
   3,038x = 21,785,556.25
5. Step 5: Solve for x
   x = 21,785,556.25/3,038
6. Step 6: Final answer
   x = 7,171.02