Finding the Third Proportional to 1,189.97 and 2,005.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.97 : 2,005.31 = 2,005.31 : x
2. Step 2: Convert to fraction form
   1,189.97/2,005.31 = 2,005.31/x
3. Step 3: Cross multiply
   1,189.97x = 2,005.31 × 2,005.31
4. Step 4: Simplify right side
   1,189.97x = 4,021,278.22
5. Step 5: Solve for x
   x = 4,021,278.22/1,189.97
6. Step 6: Final answer
   x = 3,379.31