Finding the Third Proportional to 30,944 and 55,744

Step by Step Solution

1. Step 1: Write the proportion equation
   30,944 : 55,744 = 55,744 : x
2. Step 2: Convert to fraction form
   30,944/55,744 = 55,744/x
3. Step 3: Cross multiply
   30,944x = 55,744 × 55,744
4. Step 4: Simplify right side
   30,944x = 3,107,393,536
5. Step 5: Solve for x
   x = 3,107,393,536/30,944
6. Step 6: Final answer
   x = 100,419.90