Finding the Third Proportional to 10,206 and 10,909

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206 : 10,909 = 10,909 : x
2. Step 2: Convert to fraction form
   10,206/10,909 = 10,909/x
3. Step 3: Cross multiply
   10,206x = 10,909 × 10,909
4. Step 4: Simplify right side
   10,206x = 119,006,281
5. Step 5: Solve for x
   x = 119,006,281/10,206
6. Step 6: Final answer
   x = 11,660.42