Finding the Third Proportional to 16,538 and 24,077

Step by Step Solution

1. Step 1: Write the proportion equation
   16,538 : 24,077 = 24,077 : x
2. Step 2: Convert to fraction form
   16,538/24,077 = 24,077/x
3. Step 3: Cross multiply
   16,538x = 24,077 × 24,077
4. Step 4: Simplify right side
   16,538x = 579,701,929
5. Step 5: Solve for x
   x = 579,701,929/16,538
6. Step 6: Final answer
   x = 35,052.72