Finding the Third Proportional to 11,388 and 17,697

Step by Step Solution

1. Step 1: Write the proportion equation
   11,388 : 17,697 = 17,697 : x
2. Step 2: Convert to fraction form
   11,388/17,697 = 17,697/x
3. Step 3: Cross multiply
   11,388x = 17,697 × 17,697
4. Step 4: Simplify right side
   11,388x = 313,183,809
5. Step 5: Solve for x
   x = 313,183,809/11,388
6. Step 6: Final answer
   x = 27,501.21