Finding the Third Proportional to 1,189.44 and 1,690.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.44 : 1,690.69 = 1,690.69 : x
2. Step 2: Convert to fraction form
   1,189.44/1,690.69 = 1,690.69/x
3. Step 3: Cross multiply
   1,189.44x = 1,690.69 × 1,690.69
4. Step 4: Simplify right side
   1,189.44x = 2,858,424.22
5. Step 5: Solve for x
   x = 2,858,424.22/1,189.44
6. Step 6: Final answer
   x = 2,403.17