Finding the Third Proportional to 9,802 and 17,498

Step by Step Solution

1. Step 1: Write the proportion equation
   9,802 : 17,498 = 17,498 : x
2. Step 2: Convert to fraction form
   9,802/17,498 = 17,498/x
3. Step 3: Cross multiply
   9,802x = 17,498 × 17,498
4. Step 4: Simplify right side
   9,802x = 306,180,004
5. Step 5: Solve for x
   x = 306,180,004/9,802
6. Step 6: Final answer
   x = 31,236.48