Finding the Third Proportional to 2,184 and 4,780

Step by Step Solution

1. Step 1: Write the proportion equation
   2,184 : 4,780 = 4,780 : x
2. Step 2: Convert to fraction form
   2,184/4,780 = 4,780/x
3. Step 3: Cross multiply
   2,184x = 4,780 × 4,780
4. Step 4: Simplify right side
   2,184x = 22,848,400
5. Step 5: Solve for x
   x = 22,848,400/2,184
6. Step 6: Final answer
   x = 10,461.72