Finding the Third Proportional to 16,376 and 25,185

Step by Step Solution

1. Step 1: Write the proportion equation
   16,376 : 25,185 = 25,185 : x
2. Step 2: Convert to fraction form
   16,376/25,185 = 25,185/x
3. Step 3: Cross multiply
   16,376x = 25,185 × 25,185
4. Step 4: Simplify right side
   16,376x = 634,284,225
5. Step 5: Solve for x
   x = 634,284,225/16,376
6. Step 6: Final answer
   x = 38,732.55