Finding the Third Proportional to 3,796.50 and 5,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,796.50 : 5,771.50 = 5,771.50 : x
2. Step 2: Convert to fraction form
   3,796.50/5,771.50 = 5,771.50/x
3. Step 3: Cross multiply
   3,796.50x = 5,771.50 × 5,771.50
4. Step 4: Simplify right side
   3,796.50x = 33,310,212.25
5. Step 5: Solve for x
   x = 33,310,212.25/3,796.50
6. Step 6: Final answer
   x = 8,773.93