Finding the Third Proportional to 10,426 and 22,444

Step by Step Solution

1. Step 1: Write the proportion equation
   10,426 : 22,444 = 22,444 : x
2. Step 2: Convert to fraction form
   10,426/22,444 = 22,444/x
3. Step 3: Cross multiply
   10,426x = 22,444 × 22,444
4. Step 4: Simplify right side
   10,426x = 503,733,136
5. Step 5: Solve for x
   x = 503,733,136/10,426
6. Step 6: Final answer
   x = 48,315.09