Finding the Third Proportional to 33,840 and 49,605

Step by Step Solution

1. Step 1: Write the proportion equation
   33,840 : 49,605 = 49,605 : x
2. Step 2: Convert to fraction form
   33,840/49,605 = 49,605/x
3. Step 3: Cross multiply
   33,840x = 49,605 × 49,605
4. Step 4: Simplify right side
   33,840x = 2,460,656,025
5. Step 5: Solve for x
   x = 2,460,656,025/33,840
6. Step 6: Final answer
   x = 72,714.42