Finding the Third Proportional to 3,114.70 and 4,956.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,114.70 : 4,956.82 = 4,956.82 : x
2. Step 2: Convert to fraction form
   3,114.70/4,956.82 = 4,956.82/x
3. Step 3: Cross multiply
   3,114.70x = 4,956.82 × 4,956.82
4. Step 4: Simplify right side
   3,114.70x = 24,570,067.61
5. Step 5: Solve for x
   x = 24,570,067.61/3,114.70
6. Step 6: Final answer
   x = 7,888.41