Finding the Third Proportional to 10,766 and 16,550

Step by Step Solution

1. Step 1: Write the proportion equation
   10,766 : 16,550 = 16,550 : x
2. Step 2: Convert to fraction form
   10,766/16,550 = 16,550/x
3. Step 3: Cross multiply
   10,766x = 16,550 × 16,550
4. Step 4: Simplify right side
   10,766x = 273,902,500
5. Step 5: Solve for x
   x = 273,902,500/10,766
6. Step 6: Final answer
   x = 25,441.44