Finding the Third Proportional to 10,736 and 12,656

Step by Step Solution

1. Step 1: Write the proportion equation
   10,736 : 12,656 = 12,656 : x
2. Step 2: Convert to fraction form
   10,736/12,656 = 12,656/x
3. Step 3: Cross multiply
   10,736x = 12,656 × 12,656
4. Step 4: Simplify right side
   10,736x = 160,174,336
5. Step 5: Solve for x
   x = 160,174,336/10,736
6. Step 6: Final answer
   x = 14,919.37