Finding the Third Proportional to 16,285 and 35,687

Step by Step Solution

1. Step 1: Write the proportion equation
   16,285 : 35,687 = 35,687 : x
2. Step 2: Convert to fraction form
   16,285/35,687 = 35,687/x
3. Step 3: Cross multiply
   16,285x = 35,687 × 35,687
4. Step 4: Simplify right side
   16,285x = 1,273,561,969
5. Step 5: Solve for x
   x = 1,273,561,969/16,285
6. Step 6: Final answer
   x = 78,204.60