Finding the Third Proportional to 11,416 and 17,667

Step by Step Solution

1. Step 1: Write the proportion equation
   11,416 : 17,667 = 17,667 : x
2. Step 2: Convert to fraction form
   11,416/17,667 = 17,667/x
3. Step 3: Cross multiply
   11,416x = 17,667 × 17,667
4. Step 4: Simplify right side
   11,416x = 312,122,889
5. Step 5: Solve for x
   x = 312,122,889/11,416
6. Step 6: Final answer
   x = 27,340.83