Finding the Third Proportional to 35,628 and 76,965

Step by Step Solution

1. Step 1: Write the proportion equation
   35,628 : 76,965 = 76,965 : x
2. Step 2: Convert to fraction form
   35,628/76,965 = 76,965/x
3. Step 3: Cross multiply
   35,628x = 76,965 × 76,965
4. Step 4: Simplify right side
   35,628x = 5,923,611,225
5. Step 5: Solve for x
   x = 5,923,611,225/35,628
6. Step 6: Final answer
   x = 166,262.81