Finding the Third Proportional to 2,184 and 4,800

Step by Step Solution

1. Step 1: Write the proportion equation
   2,184 : 4,800 = 4,800 : x
2. Step 2: Convert to fraction form
   2,184/4,800 = 4,800/x
3. Step 3: Cross multiply
   2,184x = 4,800 × 4,800
4. Step 4: Simplify right side
   2,184x = 23,040,000
5. Step 5: Solve for x
   x = 23,040,000/2,184
6. Step 6: Final answer
   x = 10,549.45