Finding the Third Proportional to 10,500 and 16,266

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500 : 16,266 = 16,266 : x
2. Step 2: Convert to fraction form
   10,500/16,266 = 16,266/x
3. Step 3: Cross multiply
   10,500x = 16,266 × 16,266
4. Step 4: Simplify right side
   10,500x = 264,582,756
5. Step 5: Solve for x
   x = 264,582,756/10,500
6. Step 6: Final answer
   x = 25,198.36