Finding the Third Proportional to 8,696 and 10,993

Step by Step Solution

1. Step 1: Write the proportion equation
   8,696 : 10,993 = 10,993 : x
2. Step 2: Convert to fraction form
   8,696/10,993 = 10,993/x
3. Step 3: Cross multiply
   8,696x = 10,993 × 10,993
4. Step 4: Simplify right side
   8,696x = 120,846,049
5. Step 5: Solve for x
   x = 120,846,049/8,696
6. Step 6: Final answer
   x = 13,896.74