Finding the Third Proportional to 41,078 and 65,297

Step by Step Solution

1. Step 1: Write the proportion equation
   41,078 : 65,297 = 65,297 : x
2. Step 2: Convert to fraction form
   41,078/65,297 = 65,297/x
3. Step 3: Cross multiply
   41,078x = 65,297 × 65,297
4. Step 4: Simplify right side
   41,078x = 4,263,698,209
5. Step 5: Solve for x
   x = 4,263,698,209/41,078
6. Step 6: Final answer
   x = 103,795.18