Finding the Third Proportional to 23,684 and 54,684

Step by Step Solution

1. Step 1: Write the proportion equation
   23,684 : 54,684 = 54,684 : x
2. Step 2: Convert to fraction form
   23,684/54,684 = 54,684/x
3. Step 3: Cross multiply
   23,684x = 54,684 × 54,684
4. Step 4: Simplify right side
   23,684x = 2,990,339,856
5. Step 5: Solve for x
   x = 2,990,339,856/23,684
6. Step 6: Final answer
   x = 126,259.92