Finding the Third Proportional to 20,577 and 30,744

Step by Step Solution

1. Step 1: Write the proportion equation
   20,577 : 30,744 = 30,744 : x
2. Step 2: Convert to fraction form
   20,577/30,744 = 30,744/x
3. Step 3: Cross multiply
   20,577x = 30,744 × 30,744
4. Step 4: Simplify right side
   20,577x = 945,193,536
5. Step 5: Solve for x
   x = 945,193,536/20,577
6. Step 6: Final answer
   x = 45,934.47