Finding the Third Proportional to 33,640 and 49,196

Step by Step Solution

1. Step 1: Write the proportion equation
   33,640 : 49,196 = 49,196 : x
2. Step 2: Convert to fraction form
   33,640/49,196 = 49,196/x
3. Step 3: Cross multiply
   33,640x = 49,196 × 49,196
4. Step 4: Simplify right side
   33,640x = 2,420,246,416
5. Step 5: Solve for x
   x = 2,420,246,416/33,640
6. Step 6: Final answer
   x = 71,945.49