Finding the Third Proportional to 25,686 and 54,972

Step by Step Solution

1. Step 1: Write the proportion equation
   25,686 : 54,972 = 54,972 : x
2. Step 2: Convert to fraction form
   25,686/54,972 = 54,972/x
3. Step 3: Cross multiply
   25,686x = 54,972 × 54,972
4. Step 4: Simplify right side
   25,686x = 3,021,920,784
5. Step 5: Solve for x
   x = 3,021,920,784/25,686
6. Step 6: Final answer
   x = 117,648.56