Finding the Third Proportional to 46,238 and 69,843

Step by Step Solution

1. Step 1: Write the proportion equation
   46,238 : 69,843 = 69,843 : x
2. Step 2: Convert to fraction form
   46,238/69,843 = 69,843/x
3. Step 3: Cross multiply
   46,238x = 69,843 × 69,843
4. Step 4: Simplify right side
   46,238x = 4,878,044,649
5. Step 5: Solve for x
   x = 4,878,044,649/46,238
6. Step 6: Final answer
   x = 105,498.61