Finding the Third Proportional to 7,778 and 17,020

Step by Step Solution

1. Step 1: Write the proportion equation
   7,778 : 17,020 = 17,020 : x
2. Step 2: Convert to fraction form
   7,778/17,020 = 17,020/x
3. Step 3: Cross multiply
   7,778x = 17,020 × 17,020
4. Step 4: Simplify right side
   7,778x = 289,680,400
5. Step 5: Solve for x
   x = 289,680,400/7,778
6. Step 6: Final answer
   x = 37,243.56