Finding the Third Proportional to 25,502 and 54,096

Step by Step Solution

1. Step 1: Write the proportion equation
   25,502 : 54,096 = 54,096 : x
2. Step 2: Convert to fraction form
   25,502/54,096 = 54,096/x
3. Step 3: Cross multiply
   25,502x = 54,096 × 54,096
4. Step 4: Simplify right side
   25,502x = 2,926,377,216
5. Step 5: Solve for x
   x = 2,926,377,216/25,502
6. Step 6: Final answer
   x = 114,750.89