Finding the Third Proportional to 10,684 and 17,098

Step by Step Solution

1. Step 1: Write the proportion equation
   10,684 : 17,098 = 17,098 : x
2. Step 2: Convert to fraction form
   10,684/17,098 = 17,098/x
3. Step 3: Cross multiply
   10,684x = 17,098 × 17,098
4. Step 4: Simplify right side
   10,684x = 292,341,604
5. Step 5: Solve for x
   x = 292,341,604/10,684
6. Step 6: Final answer
   x = 27,362.56