Finding the Third Proportional to 10,405 and 22,755

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405 : 22,755 = 22,755 : x
2. Step 2: Convert to fraction form
   10,405/22,755 = 22,755/x
3. Step 3: Cross multiply
   10,405x = 22,755 × 22,755
4. Step 4: Simplify right side
   10,405x = 517,790,025
5. Step 5: Solve for x
   x = 517,790,025/10,405
6. Step 6: Final answer
   x = 49,763.58