Finding the Third Proportional to 11,765 and 25,834

Step by Step Solution

1. Step 1: Write the proportion equation
   11,765 : 25,834 = 25,834 : x
2. Step 2: Convert to fraction form
   11,765/25,834 = 25,834/x
3. Step 3: Cross multiply
   11,765x = 25,834 × 25,834
4. Step 4: Simplify right side
   11,765x = 667,395,556
5. Step 5: Solve for x
   x = 667,395,556/11,765
6. Step 6: Final answer
   x = 56,727.20