Finding the Third Proportional to 25,105 and 54,097

Step by Step Solution

1. Step 1: Write the proportion equation
   25,105 : 54,097 = 54,097 : x
2. Step 2: Convert to fraction form
   25,105/54,097 = 54,097/x
3. Step 3: Cross multiply
   25,105x = 54,097 × 54,097
4. Step 4: Simplify right side
   25,105x = 2,926,485,409
5. Step 5: Solve for x
   x = 2,926,485,409/25,105
6. Step 6: Final answer
   x = 116,569.82