Finding the Third Proportional to 9,606 and 19,892

Step by Step Solution

1. Step 1: Write the proportion equation
   9,606 : 19,892 = 19,892 : x
2. Step 2: Convert to fraction form
   9,606/19,892 = 19,892/x
3. Step 3: Cross multiply
   9,606x = 19,892 × 19,892
4. Step 4: Simplify right side
   9,606x = 395,691,664
5. Step 5: Solve for x
   x = 395,691,664/9,606
6. Step 6: Final answer
   x = 41,192.14