Finding the Third Proportional to 10,813 and 23,633

Step by Step Solution

1. Step 1: Write the proportion equation
   10,813 : 23,633 = 23,633 : x
2. Step 2: Convert to fraction form
   10,813/23,633 = 23,633/x
3. Step 3: Cross multiply
   10,813x = 23,633 × 23,633
4. Step 4: Simplify right side
   10,813x = 558,518,689
5. Step 5: Solve for x
   x = 558,518,689/10,813
6. Step 6: Final answer
   x = 51,652.52