Finding the Third Proportional to 11,316 and 17,267

Step by Step Solution

1. Step 1: Write the proportion equation
   11,316 : 17,267 = 17,267 : x
2. Step 2: Convert to fraction form
   11,316/17,267 = 17,267/x
3. Step 3: Cross multiply
   11,316x = 17,267 × 17,267
4. Step 4: Simplify right side
   11,316x = 298,149,289
5. Step 5: Solve for x
   x = 298,149,289/11,316
6. Step 6: Final answer
   x = 26,347.59