Finding the Third Proportional to 30,636 and 41,577

Step by Step Solution

1. Step 1: Write the proportion equation
   30,636 : 41,577 = 41,577 : x
2. Step 2: Convert to fraction form
   30,636/41,577 = 41,577/x
3. Step 3: Cross multiply
   30,636x = 41,577 × 41,577
4. Step 4: Simplify right side
   30,636x = 1,728,646,929
5. Step 5: Solve for x
   x = 1,728,646,929/30,636
6. Step 6: Final answer
   x = 56,425.35