Finding the Third Proportional to 33,684 and 49,045

Step by Step Solution

1. Step 1: Write the proportion equation
   33,684 : 49,045 = 49,045 : x
2. Step 2: Convert to fraction form
   33,684/49,045 = 49,045/x
3. Step 3: Cross multiply
   33,684x = 49,045 × 49,045
4. Step 4: Simplify right side
   33,684x = 2,405,412,025
5. Step 5: Solve for x
   x = 2,405,412,025/33,684
6. Step 6: Final answer
   x = 71,411.12