Finding the Third Proportional to 10,766 and 16,420

Step by Step Solution

1. Step 1: Write the proportion equation
   10,766 : 16,420 = 16,420 : x
2. Step 2: Convert to fraction form
   10,766/16,420 = 16,420/x
3. Step 3: Cross multiply
   10,766x = 16,420 × 16,420
4. Step 4: Simplify right side
   10,766x = 269,616,400
5. Step 5: Solve for x
   x = 269,616,400/10,766
6. Step 6: Final answer
   x = 25,043.32