Finding the Third Proportional to 25,742 and 55,836

Step by Step Solution

1. Step 1: Write the proportion equation
   25,742 : 55,836 = 55,836 : x
2. Step 2: Convert to fraction form
   25,742/55,836 = 55,836/x
3. Step 3: Cross multiply
   25,742x = 55,836 × 55,836
4. Step 4: Simplify right side
   25,742x = 3,117,658,896
5. Step 5: Solve for x
   x = 3,117,658,896/25,742
6. Step 6: Final answer
   x = 121,111.76