Finding the Third Proportional to 35,185 and 74,945

Step by Step Solution

1. Step 1: Write the proportion equation
   35,185 : 74,945 = 74,945 : x
2. Step 2: Convert to fraction form
   35,185/74,945 = 74,945/x
3. Step 3: Cross multiply
   35,185x = 74,945 × 74,945
4. Step 4: Simplify right side
   35,185x = 5,616,753,025
5. Step 5: Solve for x
   x = 5,616,753,025/35,185
6. Step 6: Final answer
   x = 159,634.87