Finding the Third Proportional to 2,262 and 4,812

Step by Step Solution

1. Step 1: Write the proportion equation
   2,262 : 4,812 = 4,812 : x
2. Step 2: Convert to fraction form
   2,262/4,812 = 4,812/x
3. Step 3: Cross multiply
   2,262x = 4,812 × 4,812
4. Step 4: Simplify right side
   2,262x = 23,155,344
5. Step 5: Solve for x
   x = 23,155,344/2,262
6. Step 6: Final answer
   x = 10,236.67