Finding the Third Proportional to 4,222.50 and 4,830

Step by Step Solution

1. Step 1: Write the proportion equation
   4,222.50 : 4,830 = 4,830 : x
2. Step 2: Convert to fraction form
   4,222.50/4,830 = 4,830/x
3. Step 3: Cross multiply
   4,222.50x = 4,830 × 4,830
4. Step 4: Simplify right side
   4,222.50x = 23,328,900
5. Step 5: Solve for x
   x = 23,328,900/4,222.50
6. Step 6: Final answer
   x = 5,524.90