Finding the Third Proportional to 2,184 and 4,752

Step by Step Solution

1. Step 1: Write the proportion equation
   2,184 : 4,752 = 4,752 : x
2. Step 2: Convert to fraction form
   2,184/4,752 = 4,752/x
3. Step 3: Cross multiply
   2,184x = 4,752 × 4,752
4. Step 4: Simplify right side
   2,184x = 22,581,504
5. Step 5: Solve for x
   x = 22,581,504/2,184
6. Step 6: Final answer
   x = 10,339.52