Finding the Third Proportional to 31,933 and 49,015.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,933 : 49,015.50 = 49,015.50 : x
2. Step 2: Convert to fraction form
   31,933/49,015.50 = 49,015.50/x
3. Step 3: Cross multiply
   31,933x = 49,015.50 × 49,015.50
4. Step 4: Simplify right side
   31,933x = 2,402,519,240.25
5. Step 5: Solve for x
   x = 2,402,519,240.25/31,933
6. Step 6: Final answer
   x = 75,236.25