Finding the Third Proportional to 5,236.31 and 7,463.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,236.31 : 7,463.81 = 7,463.81 : x
2. Step 2: Convert to fraction form
   5,236.31/7,463.81 = 7,463.81/x
3. Step 3: Cross multiply
   5,236.31x = 7,463.81 × 7,463.81
4. Step 4: Simplify right side
   5,236.31x = 55,708,497.04
5. Step 5: Solve for x
   x = 55,708,497.04/5,236.31
6. Step 6: Final answer
   x = 10,638.88