Finding the Third Proportional to 25,857 and 55,842

Step by Step Solution

1. Step 1: Write the proportion equation
   25,857 : 55,842 = 55,842 : x
2. Step 2: Convert to fraction form
   25,857/55,842 = 55,842/x
3. Step 3: Cross multiply
   25,857x = 55,842 × 55,842
4. Step 4: Simplify right side
   25,857x = 3,118,328,964
5. Step 5: Solve for x
   x = 3,118,328,964/25,857
6. Step 6: Final answer
   x = 120,599.02