Finding the Third Proportional to 9,698 and 13,148

Step by Step Solution

1. Step 1: Write the proportion equation
   9,698 : 13,148 = 13,148 : x
2. Step 2: Convert to fraction form
   9,698/13,148 = 13,148/x
3. Step 3: Cross multiply
   9,698x = 13,148 × 13,148
4. Step 4: Simplify right side
   9,698x = 172,869,904
5. Step 5: Solve for x
   x = 172,869,904/9,698
6. Step 6: Final answer
   x = 17,825.31