Finding the Third Proportional to 33,843 and 49,610

Step by Step Solution

1. Step 1: Write the proportion equation
   33,843 : 49,610 = 49,610 : x
2. Step 2: Convert to fraction form
   33,843/49,610 = 49,610/x
3. Step 3: Cross multiply
   33,843x = 49,610 × 49,610
4. Step 4: Simplify right side
   33,843x = 2,461,152,100
5. Step 5: Solve for x
   x = 2,461,152,100/33,843
6. Step 6: Final answer
   x = 72,722.63