Finding the Third Proportional to 36,355 and 77,105

Step by Step Solution

1. Step 1: Write the proportion equation
   36,355 : 77,105 = 77,105 : x
2. Step 2: Convert to fraction form
   36,355/77,105 = 77,105/x
3. Step 3: Cross multiply
   36,355x = 77,105 × 77,105
4. Step 4: Simplify right side
   36,355x = 5,945,181,025
5. Step 5: Solve for x
   x = 5,945,181,025/36,355
6. Step 6: Final answer
   x = 163,531.32