Finding the Third Proportional to 2,290 and 4,880

Step by Step Solution

1. Step 1: Write the proportion equation
   2,290 : 4,880 = 4,880 : x
2. Step 2: Convert to fraction form
   2,290/4,880 = 4,880/x
3. Step 3: Cross multiply
   2,290x = 4,880 × 4,880
4. Step 4: Simplify right side
   2,290x = 23,814,400
5. Step 5: Solve for x
   x = 23,814,400/2,290
6. Step 6: Final answer
   x = 10,399.30