Finding the Third Proportional to 10,696 and 16,801

Step by Step Solution

1. Step 1: Write the proportion equation
   10,696 : 16,801 = 16,801 : x
2. Step 2: Convert to fraction form
   10,696/16,801 = 16,801/x
3. Step 3: Cross multiply
   10,696x = 16,801 × 16,801
4. Step 4: Simplify right side
   10,696x = 282,273,601
5. Step 5: Solve for x
   x = 282,273,601/10,696
6. Step 6: Final answer
   x = 26,390.58