Finding the Third Proportional to 10,257 and 22,443

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257 : 22,443 = 22,443 : x
2. Step 2: Convert to fraction form
   10,257/22,443 = 22,443/x
3. Step 3: Cross multiply
   10,257x = 22,443 × 22,443
4. Step 4: Simplify right side
   10,257x = 503,688,249
5. Step 5: Solve for x
   x = 503,688,249/10,257
6. Step 6: Final answer
   x = 49,106.78