Finding the Third Proportional to 3,192.50 and 4,667.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,192.50 : 4,667.25 = 4,667.25 : x
2. Step 2: Convert to fraction form
   3,192.50/4,667.25 = 4,667.25/x
3. Step 3: Cross multiply
   3,192.50x = 4,667.25 × 4,667.25
4. Step 4: Simplify right side
   3,192.50x = 21,783,222.56
5. Step 5: Solve for x
   x = 21,783,222.56/3,192.50
6. Step 6: Final answer
   x = 6,823.25