Finding the Third Proportional to 10,336 and 22,282

Step by Step Solution

1. Step 1: Write the proportion equation
   10,336 : 22,282 = 22,282 : x
2. Step 2: Convert to fraction form
   10,336/22,282 = 22,282/x
3. Step 3: Cross multiply
   10,336x = 22,282 × 22,282
4. Step 4: Simplify right side
   10,336x = 496,487,524
5. Step 5: Solve for x
   x = 496,487,524/10,336
6. Step 6: Final answer
   x = 48,034.78