Finding the Third Proportional to 35,618 and 76,946

Step by Step Solution

1. Step 1: Write the proportion equation
   35,618 : 76,946 = 76,946 : x
2. Step 2: Convert to fraction form
   35,618/76,946 = 76,946/x
3. Step 3: Cross multiply
   35,618x = 76,946 × 76,946
4. Step 4: Simplify right side
   35,618x = 5,920,686,916
5. Step 5: Solve for x
   x = 5,920,686,916/35,618
6. Step 6: Final answer
   x = 166,227.38