Finding the Third Proportional to 25,096 and 59,454

Step by Step Solution

1. Step 1: Write the proportion equation
   25,096 : 59,454 = 59,454 : x
2. Step 2: Convert to fraction form
   25,096/59,454 = 59,454/x
3. Step 3: Cross multiply
   25,096x = 59,454 × 59,454
4. Step 4: Simplify right side
   25,096x = 3,534,778,116
5. Step 5: Solve for x
   x = 3,534,778,116/25,096
6. Step 6: Final answer
   x = 140,850.26