Finding the Third Proportional to 8,222 and 17,902

Step by Step Solution

1. Step 1: Write the proportion equation
   8,222 : 17,902 = 17,902 : x
2. Step 2: Convert to fraction form
   8,222/17,902 = 17,902/x
3. Step 3: Cross multiply
   8,222x = 17,902 × 17,902
4. Step 4: Simplify right side
   8,222x = 320,481,604
5. Step 5: Solve for x
   x = 320,481,604/8,222
6. Step 6: Final answer
   x = 38,978.55