Finding the Third Proportional to 16,538 and 25,622

Step by Step Solution

1. Step 1: Write the proportion equation
   16,538 : 25,622 = 25,622 : x
2. Step 2: Convert to fraction form
   16,538/25,622 = 25,622/x
3. Step 3: Cross multiply
   16,538x = 25,622 × 25,622
4. Step 4: Simplify right side
   16,538x = 656,486,884
5. Step 5: Solve for x
   x = 656,486,884/16,538
6. Step 6: Final answer
   x = 39,695.66