Finding the Third Proportional to 5,182.31 and 8,003.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,182.31 : 8,003.81 = 8,003.81 : x
2. Step 2: Convert to fraction form
   5,182.31/8,003.81 = 8,003.81/x
3. Step 3: Cross multiply
   5,182.31x = 8,003.81 × 8,003.81
4. Step 4: Simplify right side
   5,182.31x = 64,061,014.54
5. Step 5: Solve for x
   x = 64,061,014.54/5,182.31
6. Step 6: Final answer
   x = 12,361.47