Finding the Third Proportional to 7,778 and 10,458

Step by Step Solution

1. Step 1: Write the proportion equation
   7,778 : 10,458 = 10,458 : x
2. Step 2: Convert to fraction form
   7,778/10,458 = 10,458/x
3. Step 3: Cross multiply
   7,778x = 10,458 × 10,458
4. Step 4: Simplify right side
   7,778x = 109,369,764
5. Step 5: Solve for x
   x = 109,369,764/7,778
6. Step 6: Final answer
   x = 14,061.43