Finding the Third Proportional to 10,826 and 23,326

Step by Step Solution

1. Step 1: Write the proportion equation
   10,826 : 23,326 = 23,326 : x
2. Step 2: Convert to fraction form
   10,826/23,326 = 23,326/x
3. Step 3: Cross multiply
   10,826x = 23,326 × 23,326
4. Step 4: Simplify right side
   10,826x = 544,102,276
5. Step 5: Solve for x
   x = 544,102,276/10,826
6. Step 6: Final answer
   x = 50,258.85