Finding the Third Proportional to 13,164 and 17,733

Step by Step Solution

1. Step 1: Write the proportion equation
   13,164 : 17,733 = 17,733 : x
2. Step 2: Convert to fraction form
   13,164/17,733 = 17,733/x
3. Step 3: Cross multiply
   13,164x = 17,733 × 17,733
4. Step 4: Simplify right side
   13,164x = 314,459,289
5. Step 5: Solve for x
   x = 314,459,289/13,164
6. Step 6: Final answer
   x = 23,887.82