Finding the Third Proportional to 9,766 and 23,049

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766 : 23,049 = 23,049 : x
2. Step 2: Convert to fraction form
   9,766/23,049 = 23,049/x
3. Step 3: Cross multiply
   9,766x = 23,049 × 23,049
4. Step 4: Simplify right side
   9,766x = 531,256,401
5. Step 5: Solve for x
   x = 531,256,401/9,766
6. Step 6: Final answer
   x = 54,398.57