Finding the Third Proportional to 10,823 and 23,631

Step by Step Solution

1. Step 1: Write the proportion equation
   10,823 : 23,631 = 23,631 : x
2. Step 2: Convert to fraction form
   10,823/23,631 = 23,631/x
3. Step 3: Cross multiply
   10,823x = 23,631 × 23,631
4. Step 4: Simplify right side
   10,823x = 558,424,161
5. Step 5: Solve for x
   x = 558,424,161/10,823
6. Step 6: Final answer
   x = 51,596.06