Finding the Third Proportional to 9,105 and 18,561

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105 : 18,561 = 18,561 : x
2. Step 2: Convert to fraction form
   9,105/18,561 = 18,561/x
3. Step 3: Cross multiply
   9,105x = 18,561 × 18,561
4. Step 4: Simplify right side
   9,105x = 344,510,721
5. Step 5: Solve for x
   x = 344,510,721/9,105
6. Step 6: Final answer
   x = 37,837.53