Finding the Third Proportional to 1,998.69 and 4,361.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,998.69 : 4,361.31 = 4,361.31 : x
2. Step 2: Convert to fraction form
   1,998.69/4,361.31 = 4,361.31/x
3. Step 3: Cross multiply
   1,998.69x = 4,361.31 × 4,361.31
4. Step 4: Simplify right side
   1,998.69x = 19,021,046.72
5. Step 5: Solve for x
   x = 19,021,046.72/1,998.69
6. Step 6: Final answer
   x = 9,516.77