Finding the Third Proportional to 16,538 and 24,956

Step by Step Solution

1. Step 1: Write the proportion equation
   16,538 : 24,956 = 24,956 : x
2. Step 2: Convert to fraction form
   16,538/24,956 = 24,956/x
3. Step 3: Cross multiply
   16,538x = 24,956 × 24,956
4. Step 4: Simplify right side
   16,538x = 622,801,936
5. Step 5: Solve for x
   x = 622,801,936/16,538
6. Step 6: Final answer
   x = 37,658.84