Finding the Third Proportional to 10,288 and 12,998

Step by Step Solution

1. Step 1: Write the proportion equation
   10,288 : 12,998 = 12,998 : x
2. Step 2: Convert to fraction form
   10,288/12,998 = 12,998/x
3. Step 3: Cross multiply
   10,288x = 12,998 × 12,998
4. Step 4: Simplify right side
   10,288x = 168,948,004
5. Step 5: Solve for x
   x = 168,948,004/10,288
6. Step 6: Final answer
   x = 16,421.85