Finding the Third Proportional to 46,578 and 65,843

Step by Step Solution

1. Step 1: Write the proportion equation
   46,578 : 65,843 = 65,843 : x
2. Step 2: Convert to fraction form
   46,578/65,843 = 65,843/x
3. Step 3: Cross multiply
   46,578x = 65,843 × 65,843
4. Step 4: Simplify right side
   46,578x = 4,335,300,649
5. Step 5: Solve for x
   x = 4,335,300,649/46,578
6. Step 6: Final answer
   x = 93,076.14