Finding the Third Proportional to 31,973 and 50,046.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,973 : 50,046.75 = 50,046.75 : x
2. Step 2: Convert to fraction form
   31,973/50,046.75 = 50,046.75/x
3. Step 3: Cross multiply
   31,973x = 50,046.75 × 50,046.75
4. Step 4: Simplify right side
   31,973x = 2,504,677,185.56
5. Step 5: Solve for x
   x = 2,504,677,185.56/31,973
6. Step 6: Final answer
   x = 78,337.26