Finding the Third Proportional to 2,288 and 4,900

Step by Step Solution

1. Step 1: Write the proportion equation
   2,288 : 4,900 = 4,900 : x
2. Step 2: Convert to fraction form
   2,288/4,900 = 4,900/x
3. Step 3: Cross multiply
   2,288x = 4,900 × 4,900
4. Step 4: Simplify right side
   2,288x = 24,010,000
5. Step 5: Solve for x
   x = 24,010,000/2,288
6. Step 6: Final answer
   x = 10,493.88