Finding the Third Proportional to 11,577 and 23,694

Step by Step Solution

1. Step 1: Write the proportion equation
   11,577 : 23,694 = 23,694 : x
2. Step 2: Convert to fraction form
   11,577/23,694 = 23,694/x
3. Step 3: Cross multiply
   11,577x = 23,694 × 23,694
4. Step 4: Simplify right side
   11,577x = 561,405,636
5. Step 5: Solve for x
   x = 561,405,636/11,577
6. Step 6: Final answer
   x = 48,493.19