Finding the Third Proportional to 16,942 and 25,538

Step by Step Solution

1. Step 1: Write the proportion equation
   16,942 : 25,538 = 25,538 : x
2. Step 2: Convert to fraction form
   16,942/25,538 = 25,538/x
3. Step 3: Cross multiply
   16,942x = 25,538 × 25,538
4. Step 4: Simplify right side
   16,942x = 652,189,444
5. Step 5: Solve for x
   x = 652,189,444/16,942
6. Step 6: Final answer
   x = 38,495.42