Finding the Third Proportional to 25,898 and 54,388

Step by Step Solution

1. Step 1: Write the proportion equation
   25,898 : 54,388 = 54,388 : x
2. Step 2: Convert to fraction form
   25,898/54,388 = 54,388/x
3. Step 3: Cross multiply
   25,898x = 54,388 × 54,388
4. Step 4: Simplify right side
   25,898x = 2,958,054,544
5. Step 5: Solve for x
   x = 2,958,054,544/25,898
6. Step 6: Final answer
   x = 114,219.42