Finding the Third Proportional to 10,826 and 23,116

Step by Step Solution

1. Step 1: Write the proportion equation
   10,826 : 23,116 = 23,116 : x
2. Step 2: Convert to fraction form
   10,826/23,116 = 23,116/x
3. Step 3: Cross multiply
   10,826x = 23,116 × 23,116
4. Step 4: Simplify right side
   10,826x = 534,349,456
5. Step 5: Solve for x
   x = 534,349,456/10,826
6. Step 6: Final answer
   x = 49,357.98