Finding the Third Proportional to 10,288 and 14,800

Step by Step Solution

1. Step 1: Write the proportion equation
   10,288 : 14,800 = 14,800 : x
2. Step 2: Convert to fraction form
   10,288/14,800 = 14,800/x
3. Step 3: Cross multiply
   10,288x = 14,800 × 14,800
4. Step 4: Simplify right side
   10,288x = 219,040,000
5. Step 5: Solve for x
   x = 219,040,000/10,288
6. Step 6: Final answer
   x = 21,290.82