Finding the Third Proportional to 35,885 and 73,228

Step by Step Solution

1. Step 1: Write the proportion equation
   35,885 : 73,228 = 73,228 : x
2. Step 2: Convert to fraction form
   35,885/73,228 = 73,228/x
3. Step 3: Cross multiply
   35,885x = 73,228 × 73,228
4. Step 4: Simplify right side
   35,885x = 5,362,339,984
5. Step 5: Solve for x
   x = 5,362,339,984/35,885
6. Step 6: Final answer
   x = 149,431.24