Finding the Third Proportional to 10,834 and 23,666

Step by Step Solution

1. Step 1: Write the proportion equation
   10,834 : 23,666 = 23,666 : x
2. Step 2: Convert to fraction form
   10,834/23,666 = 23,666/x
3. Step 3: Cross multiply
   10,834x = 23,666 × 23,666
4. Step 4: Simplify right side
   10,834x = 560,079,556
5. Step 5: Solve for x
   x = 560,079,556/10,834
6. Step 6: Final answer
   x = 51,696.47