Finding the Third Proportional to 10,776 and 16,696

Step by Step Solution

1. Step 1: Write the proportion equation
   10,776 : 16,696 = 16,696 : x
2. Step 2: Convert to fraction form
   10,776/16,696 = 16,696/x
3. Step 3: Cross multiply
   10,776x = 16,696 × 16,696
4. Step 4: Simplify right side
   10,776x = 278,756,416
5. Step 5: Solve for x
   x = 278,756,416/10,776
6. Step 6: Final answer
   x = 25,868.26