Finding the Third Proportional to 10,262 and 22,454

Step by Step Solution

1. Step 1: Write the proportion equation
   10,262 : 22,454 = 22,454 : x
2. Step 2: Convert to fraction form
   10,262/22,454 = 22,454/x
3. Step 3: Cross multiply
   10,262x = 22,454 × 22,454
4. Step 4: Simplify right side
   10,262x = 504,182,116
5. Step 5: Solve for x
   x = 504,182,116/10,262
6. Step 6: Final answer
   x = 49,130.98