Finding the Third Proportional to 2,268 and 4,914

Step by Step Solution

1. Step 1: Write the proportion equation
   2,268 : 4,914 = 4,914 : x
2. Step 2: Convert to fraction form
   2,268/4,914 = 4,914/x
3. Step 3: Cross multiply
   2,268x = 4,914 × 4,914
4. Step 4: Simplify right side
   2,268x = 24,147,396
5. Step 5: Solve for x
   x = 24,147,396/2,268
6. Step 6: Final answer
   x = 10,647