Finding the Third Proportional to 10,496 and 21,856

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496 : 21,856 = 21,856 : x
2. Step 2: Convert to fraction form
   10,496/21,856 = 21,856/x
3. Step 3: Cross multiply
   10,496x = 21,856 × 21,856
4. Step 4: Simplify right side
   10,496x = 477,684,736
5. Step 5: Solve for x
   x = 477,684,736/10,496
6. Step 6: Final answer
   x = 45,511.12