Finding the Third Proportional to 8,282 and 17,833

Step by Step Solution

1. Step 1: Write the proportion equation
   8,282 : 17,833 = 17,833 : x
2. Step 2: Convert to fraction form
   8,282/17,833 = 17,833/x
3. Step 3: Cross multiply
   8,282x = 17,833 × 17,833
4. Step 4: Simplify right side
   8,282x = 318,015,889
5. Step 5: Solve for x
   x = 318,015,889/8,282
6. Step 6: Final answer
   x = 38,398.44