Finding the Third Proportional to 9,864 and 23,823

Step by Step Solution

1. Step 1: Write the proportion equation
   9,864 : 23,823 = 23,823 : x
2. Step 2: Convert to fraction form
   9,864/23,823 = 23,823/x
3. Step 3: Cross multiply
   9,864x = 23,823 × 23,823
4. Step 4: Simplify right side
   9,864x = 567,535,329
5. Step 5: Solve for x
   x = 567,535,329/9,864
6. Step 6: Final answer
   x = 57,536.02