Finding the Third Proportional to 10,456 and 22,514

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456 : 22,514 = 22,514 : x
2. Step 2: Convert to fraction form
   10,456/22,514 = 22,514/x
3. Step 3: Cross multiply
   10,456x = 22,514 × 22,514
4. Step 4: Simplify right side
   10,456x = 506,880,196
5. Step 5: Solve for x
   x = 506,880,196/10,456
6. Step 6: Final answer
   x = 48,477.45