Finding the Third Proportional to 8,009 and 17,370

Step by Step Solution

1. Step 1: Write the proportion equation
   8,009 : 17,370 = 17,370 : x
2. Step 2: Convert to fraction form
   8,009/17,370 = 17,370/x
3. Step 3: Cross multiply
   8,009x = 17,370 × 17,370
4. Step 4: Simplify right side
   8,009x = 301,716,900
5. Step 5: Solve for x
   x = 301,716,900/8,009
6. Step 6: Final answer
   x = 37,672.23