Finding the Third Proportional to 10,282 and 24,245

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282 : 24,245 = 24,245 : x
2. Step 2: Convert to fraction form
   10,282/24,245 = 24,245/x
3. Step 3: Cross multiply
   10,282x = 24,245 × 24,245
4. Step 4: Simplify right side
   10,282x = 587,820,025
5. Step 5: Solve for x
   x = 587,820,025/10,282
6. Step 6: Final answer
   x = 57,169.81