Finding the Third Proportional to 31,746 and 49,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,746 : 49,558.50 = 49,558.50 : x
2. Step 2: Convert to fraction form
   31,746/49,558.50 = 49,558.50/x
3. Step 3: Cross multiply
   31,746x = 49,558.50 × 49,558.50
4. Step 4: Simplify right side
   31,746x = 2,456,044,922.25
5. Step 5: Solve for x
   x = 2,456,044,922.25/31,746
6. Step 6: Final answer
   x = 77,365.49