Finding the Third Proportional to 16,377 and 25,187

Step by Step Solution

1. Step 1: Write the proportion equation
   16,377 : 25,187 = 25,187 : x
2. Step 2: Convert to fraction form
   16,377/25,187 = 25,187/x
3. Step 3: Cross multiply
   16,377x = 25,187 × 25,187
4. Step 4: Simplify right side
   16,377x = 634,384,969
5. Step 5: Solve for x
   x = 634,384,969/16,377
6. Step 6: Final answer
   x = 38,736.34