Finding the Third Proportional to 2,264 and 4,960

Step by Step Solution

1. Step 1: Write the proportion equation
   2,264 : 4,960 = 4,960 : x
2. Step 2: Convert to fraction form
   2,264/4,960 = 4,960/x
3. Step 3: Cross multiply
   2,264x = 4,960 × 4,960
4. Step 4: Simplify right side
   2,264x = 24,601,600
5. Step 5: Solve for x
   x = 24,601,600/2,264
6. Step 6: Final answer
   x = 10,866.43