Finding the Third Proportional to 10,856 and 11,864

Step by Step Solution

1. Step 1: Write the proportion equation
   10,856 : 11,864 = 11,864 : x
2. Step 2: Convert to fraction form
   10,856/11,864 = 11,864/x
3. Step 3: Cross multiply
   10,856x = 11,864 × 11,864
4. Step 4: Simplify right side
   10,856x = 140,754,496
5. Step 5: Solve for x
   x = 140,754,496/10,856
6. Step 6: Final answer
   x = 12,965.59