Finding the Third Proportional to 25,853 and 55,837

Step by Step Solution

1. Step 1: Write the proportion equation
   25,853 : 55,837 = 55,837 : x
2. Step 2: Convert to fraction form
   25,853/55,837 = 55,837/x
3. Step 3: Cross multiply
   25,853x = 55,837 × 55,837
4. Step 4: Simplify right side
   25,853x = 3,117,770,569
5. Step 5: Solve for x
   x = 3,117,770,569/25,853
6. Step 6: Final answer
   x = 120,596.08