Finding the Third Proportional to 3,215.50 and 4,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,215.50 : 4,857.50 = 4,857.50 : x
2. Step 2: Convert to fraction form
   3,215.50/4,857.50 = 4,857.50/x
3. Step 3: Cross multiply
   3,215.50x = 4,857.50 × 4,857.50
4. Step 4: Simplify right side
   3,215.50x = 23,595,306.25
5. Step 5: Solve for x
   x = 23,595,306.25/3,215.50
6. Step 6: Final answer
   x = 7,337.99