Finding the Third Proportional to 31,198 and 73,648

Step by Step Solution

1. Step 1: Write the proportion equation
   31,198 : 73,648 = 73,648 : x
2. Step 2: Convert to fraction form
   31,198/73,648 = 73,648/x
3. Step 3: Cross multiply
   31,198x = 73,648 × 73,648
4. Step 4: Simplify right side
   31,198x = 5,424,027,904
5. Step 5: Solve for x
   x = 5,424,027,904/31,198
6. Step 6: Final answer
   x = 173,858.19