Finding the Third Proportional to 2,284 and 4,814

Step by Step Solution

1. Step 1: Write the proportion equation
   2,284 : 4,814 = 4,814 : x
2. Step 2: Convert to fraction form
   2,284/4,814 = 4,814/x
3. Step 3: Cross multiply
   2,284x = 4,814 × 4,814
4. Step 4: Simplify right side
   2,284x = 23,174,596
5. Step 5: Solve for x
   x = 23,174,596/2,284
6. Step 6: Final answer
   x = 10,146.50