Finding the Third Proportional to 3,852.31 and 5,504.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,852.31 : 5,504.81 = 5,504.81 : x
2. Step 2: Convert to fraction form
   3,852.31/5,504.81 = 5,504.81/x
3. Step 3: Cross multiply
   3,852.31x = 5,504.81 × 5,504.81
4. Step 4: Simplify right side
   3,852.31x = 30,302,960.66
5. Step 5: Solve for x
   x = 30,302,960.66/3,852.31
6. Step 6: Final answer
   x = 7,866.17