Finding the Third Proportional to 10,696 and 16,802

Step by Step Solution

1. Step 1: Write the proportion equation
   10,696 : 16,802 = 16,802 : x
2. Step 2: Convert to fraction form
   10,696/16,802 = 16,802/x
3. Step 3: Cross multiply
   10,696x = 16,802 × 16,802
4. Step 4: Simplify right side
   10,696x = 282,307,204
5. Step 5: Solve for x
   x = 282,307,204/10,696
6. Step 6: Final answer
   x = 26,393.72