Finding the Third Proportional to 36,355 and 49,105

Step by Step Solution

1. Step 1: Write the proportion equation
   36,355 : 49,105 = 49,105 : x
2. Step 2: Convert to fraction form
   36,355/49,105 = 49,105/x
3. Step 3: Cross multiply
   36,355x = 49,105 × 49,105
4. Step 4: Simplify right side
   36,355x = 2,411,301,025
5. Step 5: Solve for x
   x = 2,411,301,025/36,355
6. Step 6: Final answer
   x = 66,326.53