Finding the Third Proportional to 2,262.38 and 4,869

Step by Step Solution

1. Step 1: Write the proportion equation
   2,262.38 : 4,869 = 4,869 : x
2. Step 2: Convert to fraction form
   2,262.38/4,869 = 4,869/x
3. Step 3: Cross multiply
   2,262.38x = 4,869 × 4,869
4. Step 4: Simplify right side
   2,262.38x = 23,707,161
5. Step 5: Solve for x
   x = 23,707,161/2,262.38
6. Step 6: Final answer
   x = 10,478.88