Finding the Third Proportional to 8,400 and 17,338

Step by Step Solution

1. Step 1: Write the proportion equation
   8,400 : 17,338 = 17,338 : x
2. Step 2: Convert to fraction form
   8,400/17,338 = 17,338/x
3. Step 3: Cross multiply
   8,400x = 17,338 × 17,338
4. Step 4: Simplify right side
   8,400x = 300,606,244
5. Step 5: Solve for x
   x = 300,606,244/8,400
6. Step 6: Final answer
   x = 35,786.46