Finding the Third Proportional to 3,463.50 and 5,231.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,463.50 : 5,231.63 = 5,231.63 : x
2. Step 2: Convert to fraction form
   3,463.50/5,231.63 = 5,231.63/x
3. Step 3: Cross multiply
   3,463.50x = 5,231.63 × 5,231.63
4. Step 4: Simplify right side
   3,463.50x = 27,369,900.14
5. Step 5: Solve for x
   x = 27,369,900.14/3,463.50
6. Step 6: Final answer
   x = 7,902.38