Finding the Third Proportional to 10,338 and 21,844

Step by Step Solution

1. Step 1: Write the proportion equation
   10,338 : 21,844 = 21,844 : x
2. Step 2: Convert to fraction form
   10,338/21,844 = 21,844/x
3. Step 3: Cross multiply
   10,338x = 21,844 × 21,844
4. Step 4: Simplify right side
   10,338x = 477,160,336
5. Step 5: Solve for x
   x = 477,160,336/10,338
6. Step 6: Final answer
   x = 46,155.96