Finding the Third Proportional to 10,286 and 22,333

Step by Step Solution

1. Step 1: Write the proportion equation
   10,286 : 22,333 = 22,333 : x
2. Step 2: Convert to fraction form
   10,286/22,333 = 22,333/x
3. Step 3: Cross multiply
   10,286x = 22,333 × 22,333
4. Step 4: Simplify right side
   10,286x = 498,762,889
5. Step 5: Solve for x
   x = 498,762,889/10,286
6. Step 6: Final answer
   x = 48,489.49