Finding the Third Proportional to 10,832 and 16,538

Step by Step Solution

1. Step 1: Write the proportion equation
   10,832 : 16,538 = 16,538 : x
2. Step 2: Convert to fraction form
   10,832/16,538 = 16,538/x
3. Step 3: Cross multiply
   10,832x = 16,538 × 16,538
4. Step 4: Simplify right side
   10,832x = 273,505,444
5. Step 5: Solve for x
   x = 273,505,444/10,832
6. Step 6: Final answer
   x = 25,249.76