Finding the Third Proportional to 9,606 and 18,906

Step by Step Solution

1. Step 1: Write the proportion equation
   9,606 : 18,906 = 18,906 : x
2. Step 2: Convert to fraction form
   9,606/18,906 = 18,906/x
3. Step 3: Cross multiply
   9,606x = 18,906 × 18,906
4. Step 4: Simplify right side
   9,606x = 357,436,836
5. Step 5: Solve for x
   x = 357,436,836/9,606
6. Step 6: Final answer
   x = 37,209.75