Finding the Third Proportional to 17,853 and 23,823

Step by Step Solution

1. Step 1: Write the proportion equation
   17,853 : 23,823 = 23,823 : x
2. Step 2: Convert to fraction form
   17,853/23,823 = 23,823/x
3. Step 3: Cross multiply
   17,853x = 23,823 × 23,823
4. Step 4: Simplify right side
   17,853x = 567,535,329
5. Step 5: Solve for x
   x = 567,535,329/17,853
6. Step 6: Final answer
   x = 31,789.35