Finding the Third Proportional to 1,119.38 and 1,627.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,119.38 : 1,627.69 = 1,627.69 : x
2. Step 2: Convert to fraction form
   1,119.38/1,627.69 = 1,627.69/x
3. Step 3: Cross multiply
   1,119.38x = 1,627.69 × 1,627.69
4. Step 4: Simplify right side
   1,119.38x = 2,649,366.60
5. Step 5: Solve for x
   x = 2,649,366.60/1,119.38
6. Step 6: Final answer
   x = 2,366.83