Finding the Third Proportional to 18,164 and 42,449

Step by Step Solution

1. Step 1: Write the proportion equation
   18,164 : 42,449 = 42,449 : x
2. Step 2: Convert to fraction form
   18,164/42,449 = 42,449/x
3. Step 3: Cross multiply
   18,164x = 42,449 × 42,449
4. Step 4: Simplify right side
   18,164x = 1,801,917,601
5. Step 5: Solve for x
   x = 1,801,917,601/18,164
6. Step 6: Final answer
   x = 99,202.69