Finding the Third Proportional to 31,833 and 49,133.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,833 : 49,133.50 = 49,133.50 : x
2. Step 2: Convert to fraction form
   31,833/49,133.50 = 49,133.50/x
3. Step 3: Cross multiply
   31,833x = 49,133.50 × 49,133.50
4. Step 4: Simplify right side
   31,833x = 2,414,100,822.25
5. Step 5: Solve for x
   x = 2,414,100,822.25/31,833
6. Step 6: Final answer
   x = 75,836.42