Finding the Third Proportional to 10,605 and 23,355

Step by Step Solution

1. Step 1: Write the proportion equation
   10,605 : 23,355 = 23,355 : x
2. Step 2: Convert to fraction form
   10,605/23,355 = 23,355/x
3. Step 3: Cross multiply
   10,605x = 23,355 × 23,355
4. Step 4: Simplify right side
   10,605x = 545,456,025
5. Step 5: Solve for x
   x = 545,456,025/10,605
6. Step 6: Final answer
   x = 51,433.85