Finding the Third Proportional to 1,297.69 and 1,921.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.69 : 1,921.78 = 1,921.78 : x
2. Step 2: Convert to fraction form
   1,297.69/1,921.78 = 1,921.78/x
3. Step 3: Cross multiply
   1,297.69x = 1,921.78 × 1,921.78
4. Step 4: Simplify right side
   1,297.69x = 3,693,243.17
5. Step 5: Solve for x
   x = 3,693,243.17/1,297.69
6. Step 6: Final answer
   x = 2,846.02