Finding the Third Proportional to 25,462 and 55,268

Step by Step Solution

1. Step 1: Write the proportion equation
   25,462 : 55,268 = 55,268 : x
2. Step 2: Convert to fraction form
   25,462/55,268 = 55,268/x
3. Step 3: Cross multiply
   25,462x = 55,268 × 55,268
4. Step 4: Simplify right side
   25,462x = 3,054,551,824
5. Step 5: Solve for x
   x = 3,054,551,824/25,462
6. Step 6: Final answer
   x = 119,965.12