Finding the Third Proportional to 3,796.50 and 5,034.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,796.50 : 5,034.75 = 5,034.75 : x
2. Step 2: Convert to fraction form
   3,796.50/5,034.75 = 5,034.75/x
3. Step 3: Cross multiply
   3,796.50x = 5,034.75 × 5,034.75
4. Step 4: Simplify right side
   3,796.50x = 25,348,707.56
5. Step 5: Solve for x
   x = 25,348,707.56/3,796.50
6. Step 6: Final answer
   x = 6,676.86