Finding the Third Proportional to 9,700 and 13,098

Step by Step Solution

1. Step 1: Write the proportion equation
   9,700 : 13,098 = 13,098 : x
2. Step 2: Convert to fraction form
   9,700/13,098 = 13,098/x
3. Step 3: Cross multiply
   9,700x = 13,098 × 13,098
4. Step 4: Simplify right side
   9,700x = 171,557,604
5. Step 5: Solve for x
   x = 171,557,604/9,700
6. Step 6: Final answer
   x = 17,686.35