Finding the Third Proportional to 8,896 and 10,696

Step by Step Solution

1. Step 1: Write the proportion equation
   8,896 : 10,696 = 10,696 : x
2. Step 2: Convert to fraction form
   8,896/10,696 = 10,696/x
3. Step 3: Cross multiply
   8,896x = 10,696 × 10,696
4. Step 4: Simplify right side
   8,896x = 114,404,416
5. Step 5: Solve for x
   x = 114,404,416/8,896
6. Step 6: Final answer
   x = 12,860.21