Finding the Third Proportional to 10,766 and 23,066

Step by Step Solution

1. Step 1: Write the proportion equation
   10,766 : 23,066 = 23,066 : x
2. Step 2: Convert to fraction form
   10,766/23,066 = 23,066/x
3. Step 3: Cross multiply
   10,766x = 23,066 × 23,066
4. Step 4: Simplify right side
   10,766x = 532,040,356
5. Step 5: Solve for x
   x = 532,040,356/10,766
6. Step 6: Final answer
   x = 49,418.57