Finding the Third Proportional to 1,155.38 and 1,627.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.38 : 1,627.31 = 1,627.31 : x
2. Step 2: Convert to fraction form
   1,155.38/1,627.31 = 1,627.31/x
3. Step 3: Cross multiply
   1,155.38x = 1,627.31 × 1,627.31
4. Step 4: Simplify right side
   1,155.38x = 2,648,145.97
5. Step 5: Solve for x
   x = 2,648,145.97/1,155.38
6. Step 6: Final answer
   x = 2,292.02