Finding the Third Proportional to 7,778 and 10,504

Step by Step Solution

1. Step 1: Write the proportion equation
   7,778 : 10,504 = 10,504 : x
2. Step 2: Convert to fraction form
   7,778/10,504 = 10,504/x
3. Step 3: Cross multiply
   7,778x = 10,504 × 10,504
4. Step 4: Simplify right side
   7,778x = 110,334,016
5. Step 5: Solve for x
   x = 110,334,016/7,778
6. Step 6: Final answer
   x = 14,185.40