Finding the Third Proportional to 10,144 and 22,488

Step by Step Solution

1. Step 1: Write the proportion equation
   10,144 : 22,488 = 22,488 : x
2. Step 2: Convert to fraction form
   10,144/22,488 = 22,488/x
3. Step 3: Cross multiply
   10,144x = 22,488 × 22,488
4. Step 4: Simplify right side
   10,144x = 505,710,144
5. Step 5: Solve for x
   x = 505,710,144/10,144
6. Step 6: Final answer
   x = 49,853.13