Finding the Third Proportional to 23,172 and 54,689

Step by Step Solution

1. Step 1: Write the proportion equation
   23,172 : 54,689 = 54,689 : x
2. Step 2: Convert to fraction form
   23,172/54,689 = 54,689/x
3. Step 3: Cross multiply
   23,172x = 54,689 × 54,689
4. Step 4: Simplify right side
   23,172x = 2,990,886,721
5. Step 5: Solve for x
   x = 2,990,886,721/23,172
6. Step 6: Final answer
   x = 129,073.31