Finding the Third Proportional to 35,688 and 76,857

Step by Step Solution

1. Step 1: Write the proportion equation
   35,688 : 76,857 = 76,857 : x
2. Step 2: Convert to fraction form
   35,688/76,857 = 76,857/x
3. Step 3: Cross multiply
   35,688x = 76,857 × 76,857
4. Step 4: Simplify right side
   35,688x = 5,906,998,449
5. Step 5: Solve for x
   x = 5,906,998,449/35,688
6. Step 6: Final answer
   x = 165,517.78