Finding the Third Proportional to 10,577 and 23,044

Step by Step Solution

1. Step 1: Write the proportion equation
   10,577 : 23,044 = 23,044 : x
2. Step 2: Convert to fraction form
   10,577/23,044 = 23,044/x
3. Step 3: Cross multiply
   10,577x = 23,044 × 23,044
4. Step 4: Simplify right side
   10,577x = 531,025,936
5. Step 5: Solve for x
   x = 531,025,936/10,577
6. Step 6: Final answer
   x = 50,205.72