Finding the Third Proportional to 1,918.69 and 2,649.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,918.69 : 2,649.38 = 2,649.38 : x
2. Step 2: Convert to fraction form
   1,918.69/2,649.38 = 2,649.38/x
3. Step 3: Cross multiply
   1,918.69x = 2,649.38 × 2,649.38
4. Step 4: Simplify right side
   1,918.69x = 7,019,187.89
5. Step 5: Solve for x
   x = 7,019,187.89/1,918.69
6. Step 6: Final answer
   x = 3,658.33