Finding the Third Proportional to 2,218 and 4,846

Step by Step Solution

1. Step 1: Write the proportion equation
   2,218 : 4,846 = 4,846 : x
2. Step 2: Convert to fraction form
   2,218/4,846 = 4,846/x
3. Step 3: Cross multiply
   2,218x = 4,846 × 4,846
4. Step 4: Simplify right side
   2,218x = 23,483,716
5. Step 5: Solve for x
   x = 23,483,716/2,218
6. Step 6: Final answer
   x = 10,587.79