Finding the Third Proportional to 3,821 and 5,155.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,821 : 5,155.25 = 5,155.25 : x
2. Step 2: Convert to fraction form
   3,821/5,155.25 = 5,155.25/x
3. Step 3: Cross multiply
   3,821x = 5,155.25 × 5,155.25
4. Step 4: Simplify right side
   3,821x = 26,576,602.56
5. Step 5: Solve for x
   x = 26,576,602.56/3,821
6. Step 6: Final answer
   x = 6,955.41