Finding the Third Proportional to 10,682 and 23,308

Step by Step Solution

1. Step 1: Write the proportion equation
   10,682 : 23,308 = 23,308 : x
2. Step 2: Convert to fraction form
   10,682/23,308 = 23,308/x
3. Step 3: Cross multiply
   10,682x = 23,308 × 23,308
4. Step 4: Simplify right side
   10,682x = 543,262,864
5. Step 5: Solve for x
   x = 543,262,864/10,682
6. Step 6: Final answer
   x = 50,857.79