Finding the Third Proportional to 25,546 and 54,980

Step by Step Solution

1. Step 1: Write the proportion equation
   25,546 : 54,980 = 54,980 : x
2. Step 2: Convert to fraction form
   25,546/54,980 = 54,980/x
3. Step 3: Cross multiply
   25,546x = 54,980 × 54,980
4. Step 4: Simplify right side
   25,546x = 3,022,800,400
5. Step 5: Solve for x
   x = 3,022,800,400/25,546
6. Step 6: Final answer
   x = 118,327.74