Finding the Third Proportional to 10,206 and 10,917

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206 : 10,917 = 10,917 : x
2. Step 2: Convert to fraction form
   10,206/10,917 = 10,917/x
3. Step 3: Cross multiply
   10,206x = 10,917 × 10,917
4. Step 4: Simplify right side
   10,206x = 119,180,889
5. Step 5: Solve for x
   x = 119,180,889/10,206
6. Step 6: Final answer
   x = 11,677.53