Finding the Third Proportional to 35,687 and 76,855

Step by Step Solution

1. Step 1: Write the proportion equation
   35,687 : 76,855 = 76,855 : x
2. Step 2: Convert to fraction form
   35,687/76,855 = 76,855/x
3. Step 3: Cross multiply
   35,687x = 76,855 × 76,855
4. Step 4: Simplify right side
   35,687x = 5,906,691,025
5. Step 5: Solve for x
   x = 5,906,691,025/35,687
6. Step 6: Final answer
   x = 165,513.80