Finding the Third Proportional to 10,826 and 23,296

Step by Step Solution

1. Step 1: Write the proportion equation
   10,826 : 23,296 = 23,296 : x
2. Step 2: Convert to fraction form
   10,826/23,296 = 23,296/x
3. Step 3: Cross multiply
   10,826x = 23,296 × 23,296
4. Step 4: Simplify right side
   10,826x = 542,703,616
5. Step 5: Solve for x
   x = 542,703,616/10,826
6. Step 6: Final answer
   x = 50,129.65