Finding the Third Proportional to 9,852 and 15,834

Step by Step Solution

1. Step 1: Write the proportion equation
   9,852 : 15,834 = 15,834 : x
2. Step 2: Convert to fraction form
   9,852/15,834 = 15,834/x
3. Step 3: Cross multiply
   9,852x = 15,834 × 15,834
4. Step 4: Simplify right side
   9,852x = 250,715,556
5. Step 5: Solve for x
   x = 250,715,556/9,852
6. Step 6: Final answer
   x = 25,448.19