Finding the Third Proportional to 10,828 and 23,681

Step by Step Solution

1. Step 1: Write the proportion equation
   10,828 : 23,681 = 23,681 : x
2. Step 2: Convert to fraction form
   10,828/23,681 = 23,681/x
3. Step 3: Cross multiply
   10,828x = 23,681 × 23,681
4. Step 4: Simplify right side
   10,828x = 560,789,761
5. Step 5: Solve for x
   x = 560,789,761/10,828
6. Step 6: Final answer
   x = 51,790.71