Finding the Third Proportional to 2,352.94 and 4,771.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,352.94 : 4,771.69 = 4,771.69 : x
2. Step 2: Convert to fraction form
   2,352.94/4,771.69 = 4,771.69/x
3. Step 3: Cross multiply
   2,352.94x = 4,771.69 × 4,771.69
4. Step 4: Simplify right side
   2,352.94x = 22,769,001.60
5. Step 5: Solve for x
   x = 22,769,001.60/2,352.94
6. Step 6: Final answer
   x = 9,676.84