Finding the Third Proportional to 23,544 and 53,730

Step by Step Solution

1. Step 1: Write the proportion equation
   23,544 : 53,730 = 53,730 : x
2. Step 2: Convert to fraction form
   23,544/53,730 = 53,730/x
3. Step 3: Cross multiply
   23,544x = 53,730 × 53,730
4. Step 4: Simplify right side
   23,544x = 2,886,912,900
5. Step 5: Solve for x
   x = 2,886,912,900/23,544
6. Step 6: Final answer
   x = 122,617.78