Finding the Third Proportional to 10,822 and 16,288

Step by Step Solution

1. Step 1: Write the proportion equation
   10,822 : 16,288 = 16,288 : x
2. Step 2: Convert to fraction form
   10,822/16,288 = 16,288/x
3. Step 3: Cross multiply
   10,822x = 16,288 × 16,288
4. Step 4: Simplify right side
   10,822x = 265,298,944
5. Step 5: Solve for x
   x = 265,298,944/10,822
6. Step 6: Final answer
   x = 24,514.78