Finding the Third Proportional to 10,856 and 14,656

Step by Step Solution

1. Step 1: Write the proportion equation
   10,856 : 14,656 = 14,656 : x
2. Step 2: Convert to fraction form
   10,856/14,656 = 14,656/x
3. Step 3: Cross multiply
   10,856x = 14,656 × 14,656
4. Step 4: Simplify right side
   10,856x = 214,798,336
5. Step 5: Solve for x
   x = 214,798,336/10,856
6. Step 6: Final answer
   x = 19,786.14