Finding the Third Proportional to 10,395 and 22,734

Step by Step Solution

1. Step 1: Write the proportion equation
   10,395 : 22,734 = 22,734 : x
2. Step 2: Convert to fraction form
   10,395/22,734 = 22,734/x
3. Step 3: Cross multiply
   10,395x = 22,734 × 22,734
4. Step 4: Simplify right side
   10,395x = 516,834,756
5. Step 5: Solve for x
   x = 516,834,756/10,395
6. Step 6: Final answer
   x = 49,719.55