Finding the Third Proportional to 11,165 and 17,733

Step by Step Solution

1. Step 1: Write the proportion equation
   11,165 : 17,733 = 17,733 : x
2. Step 2: Convert to fraction form
   11,165/17,733 = 17,733/x
3. Step 3: Cross multiply
   11,165x = 17,733 × 17,733
4. Step 4: Simplify right side
   11,165x = 314,459,289
5. Step 5: Solve for x
   x = 314,459,289/11,165
6. Step 6: Final answer
   x = 28,164.74