Finding the Third Proportional to 10,189 and 24,540

Step by Step Solution

1. Step 1: Write the proportion equation
   10,189 : 24,540 = 24,540 : x
2. Step 2: Convert to fraction form
   10,189/24,540 = 24,540/x
3. Step 3: Cross multiply
   10,189x = 24,540 × 24,540
4. Step 4: Simplify right side
   10,189x = 602,211,600
5. Step 5: Solve for x
   x = 602,211,600/10,189
6. Step 6: Final answer
   x = 59,104.09