Finding the Third Proportional to 2,172 and 4,830

Step by Step Solution

1. Step 1: Write the proportion equation
   2,172 : 4,830 = 4,830 : x
2. Step 2: Convert to fraction form
   2,172/4,830 = 4,830/x
3. Step 3: Cross multiply
   2,172x = 4,830 × 4,830
4. Step 4: Simplify right side
   2,172x = 23,328,900
5. Step 5: Solve for x
   x = 23,328,900/2,172
6. Step 6: Final answer
   x = 10,740.75