Finding the Third Proportional to 33,784 and 49,640

Step by Step Solution

1. Step 1: Write the proportion equation
   33,784 : 49,640 = 49,640 : x
2. Step 2: Convert to fraction form
   33,784/49,640 = 49,640/x
3. Step 3: Cross multiply
   33,784x = 49,640 × 49,640
4. Step 4: Simplify right side
   33,784x = 2,464,129,600
5. Step 5: Solve for x
   x = 2,464,129,600/33,784
6. Step 6: Final answer
   x = 72,937.77