Finding the Third Proportional to 5,356 and 10,838

Step by Step Solution

1. Step 1: Write the proportion equation
   5,356 : 10,838 = 10,838 : x
2. Step 2: Convert to fraction form
   5,356/10,838 = 10,838/x
3. Step 3: Cross multiply
   5,356x = 10,838 × 10,838
4. Step 4: Simplify right side
   5,356x = 117,462,244
5. Step 5: Solve for x
   x = 117,462,244/5,356
6. Step 6: Final answer
   x = 21,930.96