Finding the Third Proportional to 1,463.23 and 3,199.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.23 : 3,199.71 = 3,199.71 : x
2. Step 2: Convert to fraction form
   1,463.23/3,199.71 = 3,199.71/x
3. Step 3: Cross multiply
   1,463.23x = 3,199.71 × 3,199.71
4. Step 4: Simplify right side
   1,463.23x = 10,238,150.08
5. Step 5: Solve for x
   x = 10,238,150.08/1,463.23
6. Step 6: Final answer
   x = 6,996.97