Finding the Third Proportional to 2,238 and 4,784

Step by Step Solution

1. Step 1: Write the proportion equation
   2,238 : 4,784 = 4,784 : x
2. Step 2: Convert to fraction form
   2,238/4,784 = 4,784/x
3. Step 3: Cross multiply
   2,238x = 4,784 × 4,784
4. Step 4: Simplify right side
   2,238x = 22,886,656
5. Step 5: Solve for x
   x = 22,886,656/2,238
6. Step 6: Final answer
   x = 10,226.39