Finding the Third Proportional to 25,678 and 54,830

Step by Step Solution

1. Step 1: Write the proportion equation
   25,678 : 54,830 = 54,830 : x
2. Step 2: Convert to fraction form
   25,678/54,830 = 54,830/x
3. Step 3: Cross multiply
   25,678x = 54,830 × 54,830
4. Step 4: Simplify right side
   25,678x = 3,006,328,900
5. Step 5: Solve for x
   x = 3,006,328,900/25,678
6. Step 6: Final answer
   x = 117,078.00