Finding the Third Proportional to 33,842 and 49,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,842 : 49,608.50 = 49,608.50 : x
2. Step 2: Convert to fraction form
   33,842/49,608.50 = 49,608.50/x
3. Step 3: Cross multiply
   33,842x = 49,608.50 × 49,608.50
4. Step 4: Simplify right side
   33,842x = 2,461,003,272.25
5. Step 5: Solve for x
   x = 2,461,003,272.25/33,842
6. Step 6: Final answer
   x = 72,720.39