Finding the Third Proportional to 627.75 and 1,005.38

Step by Step Solution

1. Step 1: Write the proportion equation
   627.75 : 1,005.38 = 1,005.38 : x
2. Step 2: Convert to fraction form
   627.75/1,005.38 = 1,005.38/x
3. Step 3: Cross multiply
   627.75x = 1,005.38 × 1,005.38
4. Step 4: Simplify right side
   627.75x = 1,010,778.89
5. Step 5: Solve for x
   x = 1,010,778.89/627.75
6. Step 6: Final answer
   x = 1,610.16