Finding the Third Proportional to 9,836 and 17,368

Step by Step Solution

1. Step 1: Write the proportion equation
   9,836 : 17,368 = 17,368 : x
2. Step 2: Convert to fraction form
   9,836/17,368 = 17,368/x
3. Step 3: Cross multiply
   9,836x = 17,368 × 17,368
4. Step 4: Simplify right side
   9,836x = 301,647,424
5. Step 5: Solve for x
   x = 301,647,424/9,836
6. Step 6: Final answer
   x = 30,667.69