Finding the Third Proportional to 35,698 and 50,144

Step by Step Solution

1. Step 1: Write the proportion equation
   35,698 : 50,144 = 50,144 : x
2. Step 2: Convert to fraction form
   35,698/50,144 = 50,144/x
3. Step 3: Cross multiply
   35,698x = 50,144 × 50,144
4. Step 4: Simplify right side
   35,698x = 2,514,420,736
5. Step 5: Solve for x
   x = 2,514,420,736/35,698
6. Step 6: Final answer
   x = 70,435.90