Finding the Third Proportional to 9,700 and 14,170

Step by Step Solution

1. Step 1: Write the proportion equation
   9,700 : 14,170 = 14,170 : x
2. Step 2: Convert to fraction form
   9,700/14,170 = 14,170/x
3. Step 3: Cross multiply
   9,700x = 14,170 × 14,170
4. Step 4: Simplify right side
   9,700x = 200,788,900
5. Step 5: Solve for x
   x = 200,788,900/9,700
6. Step 6: Final answer
   x = 20,699.89