Finding the Third Proportional to 10,544 and 16,788

Step by Step Solution

1. Step 1: Write the proportion equation
   10,544 : 16,788 = 16,788 : x
2. Step 2: Convert to fraction form
   10,544/16,788 = 16,788/x
3. Step 3: Cross multiply
   10,544x = 16,788 × 16,788
4. Step 4: Simplify right side
   10,544x = 281,836,944
5. Step 5: Solve for x
   x = 281,836,944/10,544
6. Step 6: Final answer
   x = 26,729.60