Finding the Third Proportional to 11,150 and 16,299

Step by Step Solution

1. Step 1: Write the proportion equation
   11,150 : 16,299 = 16,299 : x
2. Step 2: Convert to fraction form
   11,150/16,299 = 16,299/x
3. Step 3: Cross multiply
   11,150x = 16,299 × 16,299
4. Step 4: Simplify right side
   11,150x = 265,657,401
5. Step 5: Solve for x
   x = 265,657,401/11,150
6. Step 6: Final answer
   x = 23,825.78