Finding the Third Proportional to 11,998 and 18,164

Step by Step Solution

1. Step 1: Write the proportion equation
   11,998 : 18,164 = 18,164 : x
2. Step 2: Convert to fraction form
   11,998/18,164 = 18,164/x
3. Step 3: Cross multiply
   11,998x = 18,164 × 18,164
4. Step 4: Simplify right side
   11,998x = 329,930,896
5. Step 5: Solve for x
   x = 329,930,896/11,998
6. Step 6: Final answer
   x = 27,498.82