Finding the Third Proportional to 8,404 and 17,894

Step by Step Solution

1. Step 1: Write the proportion equation
   8,404 : 17,894 = 17,894 : x
2. Step 2: Convert to fraction form
   8,404/17,894 = 17,894/x
3. Step 3: Cross multiply
   8,404x = 17,894 × 17,894
4. Step 4: Simplify right side
   8,404x = 320,195,236
5. Step 5: Solve for x
   x = 320,195,236/8,404
6. Step 6: Final answer
   x = 38,100.34