Finding the Third Proportional to 16,533 and 25,186

Step by Step Solution

1. Step 1: Write the proportion equation
   16,533 : 25,186 = 25,186 : x
2. Step 2: Convert to fraction form
   16,533/25,186 = 25,186/x
3. Step 3: Cross multiply
   16,533x = 25,186 × 25,186
4. Step 4: Simplify right side
   16,533x = 634,334,596
5. Step 5: Solve for x
   x = 634,334,596/16,533
6. Step 6: Final answer
   x = 38,367.79