Finding the Third Proportional to 65,739 and 76,857

Step by Step Solution

1. Step 1: Write the proportion equation
   65,739 : 76,857 = 76,857 : x
2. Step 2: Convert to fraction form
   65,739/76,857 = 76,857/x
3. Step 3: Cross multiply
   65,739x = 76,857 × 76,857
4. Step 4: Simplify right side
   65,739x = 5,906,998,449
5. Step 5: Solve for x
   x = 5,906,998,449/65,739
6. Step 6: Final answer
   x = 89,855.31