Finding the Third Proportional to 11,364 and 17,697

Step by Step Solution

1. Step 1: Write the proportion equation
   11,364 : 17,697 = 17,697 : x
2. Step 2: Convert to fraction form
   11,364/17,697 = 17,697/x
3. Step 3: Cross multiply
   11,364x = 17,697 × 17,697
4. Step 4: Simplify right side
   11,364x = 313,183,809
5. Step 5: Solve for x
   x = 313,183,809/11,364
6. Step 6: Final answer
   x = 27,559.29