Finding the Third Proportional to 16,538 and 25,194

Step by Step Solution

1. Step 1: Write the proportion equation
   16,538 : 25,194 = 25,194 : x
2. Step 2: Convert to fraction form
   16,538/25,194 = 25,194/x
3. Step 3: Cross multiply
   16,538x = 25,194 × 25,194
4. Step 4: Simplify right side
   16,538x = 634,737,636
5. Step 5: Solve for x
   x = 634,737,636/16,538
6. Step 6: Final answer
   x = 38,380.56