Finding the Third Proportional to 1,862.75 and 2,648.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,862.75 : 2,648.38 = 2,648.38 : x
2. Step 2: Convert to fraction form
   1,862.75/2,648.38 = 2,648.38/x
3. Step 3: Cross multiply
   1,862.75x = 2,648.38 × 2,648.38
4. Step 4: Simplify right side
   1,862.75x = 7,013,890.14
5. Step 5: Solve for x
   x = 7,013,890.14/1,862.75
6. Step 6: Final answer
   x = 3,765.34