Finding the Third Proportional to 9,502 and 17,818

Step by Step Solution

1. Step 1: Write the proportion equation
   9,502 : 17,818 = 17,818 : x
2. Step 2: Convert to fraction form
   9,502/17,818 = 17,818/x
3. Step 3: Cross multiply
   9,502x = 17,818 × 17,818
4. Step 4: Simplify right side
   9,502x = 317,481,124
5. Step 5: Solve for x
   x = 317,481,124/9,502
6. Step 6: Final answer
   x = 33,412.03