Finding the Third Proportional to 33,096 and 49,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,096 : 49,945.50 = 49,945.50 : x
2. Step 2: Convert to fraction form
   33,096/49,945.50 = 49,945.50/x
3. Step 3: Cross multiply
   33,096x = 49,945.50 × 49,945.50
4. Step 4: Simplify right side
   33,096x = 2,494,552,970.25
5. Step 5: Solve for x
   x = 2,494,552,970.25/33,096
6. Step 6: Final answer
   x = 75,373.25