Finding the Third Proportional to 10,706 and 23,059

Step by Step Solution

1. Step 1: Write the proportion equation
   10,706 : 23,059 = 23,059 : x
2. Step 2: Convert to fraction form
   10,706/23,059 = 23,059/x
3. Step 3: Cross multiply
   10,706x = 23,059 × 23,059
4. Step 4: Simplify right side
   10,706x = 531,717,481
5. Step 5: Solve for x
   x = 531,717,481/10,706
6. Step 6: Final answer
   x = 49,665.37