Finding the Third Proportional to 35,444 and 39,116

Step by Step Solution

1. Step 1: Write the proportion equation
   35,444 : 39,116 = 39,116 : x
2. Step 2: Convert to fraction form
   35,444/39,116 = 39,116/x
3. Step 3: Cross multiply
   35,444x = 39,116 × 39,116
4. Step 4: Simplify right side
   35,444x = 1,530,061,456
5. Step 5: Solve for x
   x = 1,530,061,456/35,444
6. Step 6: Final answer
   x = 43,168.42