Finding the Third Proportional to 41,074 and 65,377

Step by Step Solution

1. Step 1: Write the proportion equation
   41,074 : 65,377 = 65,377 : x
2. Step 2: Convert to fraction form
   41,074/65,377 = 65,377/x
3. Step 3: Cross multiply
   41,074x = 65,377 × 65,377
4. Step 4: Simplify right side
   41,074x = 4,274,152,129
5. Step 5: Solve for x
   x = 4,274,152,129/41,074
6. Step 6: Final answer
   x = 104,059.80