Finding the Third Proportional to 31,802 and 73,945

Step by Step Solution

1. Step 1: Write the proportion equation
   31,802 : 73,945 = 73,945 : x
2. Step 2: Convert to fraction form
   31,802/73,945 = 73,945/x
3. Step 3: Cross multiply
   31,802x = 73,945 × 73,945
4. Step 4: Simplify right side
   31,802x = 5,467,863,025
5. Step 5: Solve for x
   x = 5,467,863,025/31,802
6. Step 6: Final answer
   x = 171,934.56