Finding the Third Proportional to 5,778 and 12,178.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,778 : 12,178.69 = 12,178.69 : x
2. Step 2: Convert to fraction form
   5,778/12,178.69 = 12,178.69/x
3. Step 3: Cross multiply
   5,778x = 12,178.69 × 12,178.69
4. Step 4: Simplify right side
   5,778x = 148,320,429.22
5. Step 5: Solve for x
   x = 148,320,429.22/5,778
6. Step 6: Final answer
   x = 25,669.86