Finding the Third Proportional to 10,828 and 23,684

Step by Step Solution

1. Step 1: Write the proportion equation
   10,828 : 23,684 = 23,684 : x
2. Step 2: Convert to fraction form
   10,828/23,684 = 23,684/x
3. Step 3: Cross multiply
   10,828x = 23,684 × 23,684
4. Step 4: Simplify right side
   10,828x = 560,931,856
5. Step 5: Solve for x
   x = 560,931,856/10,828
6. Step 6: Final answer
   x = 51,803.83