Finding the Third Proportional to 2,238 and 4,854

Step by Step Solution

1. Step 1: Write the proportion equation
   2,238 : 4,854 = 4,854 : x
2. Step 2: Convert to fraction form
   2,238/4,854 = 4,854/x
3. Step 3: Cross multiply
   2,238x = 4,854 × 4,854
4. Step 4: Simplify right side
   2,238x = 23,561,316
5. Step 5: Solve for x
   x = 23,561,316/2,238
6. Step 6: Final answer
   x = 10,527.84