Finding the Third Proportional to 8,090 and 17,644

Step by Step Solution

1. Step 1: Write the proportion equation
   8,090 : 17,644 = 17,644 : x
2. Step 2: Convert to fraction form
   8,090/17,644 = 17,644/x
3. Step 3: Cross multiply
   8,090x = 17,644 × 17,644
4. Step 4: Simplify right side
   8,090x = 311,310,736
5. Step 5: Solve for x
   x = 311,310,736/8,090
6. Step 6: Final answer
   x = 38,480.93