Finding the Third Proportional to 35,559 and 76,805

Step by Step Solution

1. Step 1: Write the proportion equation
   35,559 : 76,805 = 76,805 : x
2. Step 2: Convert to fraction form
   35,559/76,805 = 76,805/x
3. Step 3: Cross multiply
   35,559x = 76,805 × 76,805
4. Step 4: Simplify right side
   35,559x = 5,899,008,025
5. Step 5: Solve for x
   x = 5,899,008,025/35,559
6. Step 6: Final answer
   x = 165,893.53