Finding the Third Proportional to 33,795 and 49,576.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,795 : 49,576.50 = 49,576.50 : x
2. Step 2: Convert to fraction form
   33,795/49,576.50 = 49,576.50/x
3. Step 3: Cross multiply
   33,795x = 49,576.50 × 49,576.50
4. Step 4: Simplify right side
   33,795x = 2,457,829,352.25
5. Step 5: Solve for x
   x = 2,457,829,352.25/33,795
6. Step 6: Final answer
   x = 72,727.60