Finding the Third Proportional to 4,217.50 and 4,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,217.50 : 4,856.50 = 4,856.50 : x
2. Step 2: Convert to fraction form
   4,217.50/4,856.50 = 4,856.50/x
3. Step 3: Cross multiply
   4,217.50x = 4,856.50 × 4,856.50
4. Step 4: Simplify right side
   4,217.50x = 23,585,592.25
5. Step 5: Solve for x
   x = 23,585,592.25/4,217.50
6. Step 6: Final answer
   x = 5,592.32