Finding the Third Proportional to 25,854 and 55,834

Step by Step Solution

1. Step 1: Write the proportion equation
   25,854 : 55,834 = 55,834 : x
2. Step 2: Convert to fraction form
   25,854/55,834 = 55,834/x
3. Step 3: Cross multiply
   25,854x = 55,834 × 55,834
4. Step 4: Simplify right side
   25,854x = 3,117,435,556
5. Step 5: Solve for x
   x = 3,117,435,556/25,854
6. Step 6: Final answer
   x = 120,578.46