Finding the Third Proportional to 10,859 and 23,683

Step by Step Solution

1. Step 1: Write the proportion equation
   10,859 : 23,683 = 23,683 : x
2. Step 2: Convert to fraction form
   10,859/23,683 = 23,683/x
3. Step 3: Cross multiply
   10,859x = 23,683 × 23,683
4. Step 4: Simplify right side
   10,859x = 560,884,489
5. Step 5: Solve for x
   x = 560,884,489/10,859
6. Step 6: Final answer
   x = 51,651.58