Finding the Third Proportional to 10,946 and 22,666

Step by Step Solution

1. Step 1: Write the proportion equation
   10,946 : 22,666 = 22,666 : x
2. Step 2: Convert to fraction form
   10,946/22,666 = 22,666/x
3. Step 3: Cross multiply
   10,946x = 22,666 × 22,666
4. Step 4: Simplify right side
   10,946x = 513,747,556
5. Step 5: Solve for x
   x = 513,747,556/10,946
6. Step 6: Final answer
   x = 46,934.73