Finding the Third Proportional to 1,297.78 and 1,946.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.78 : 1,946.28 = 1,946.28 : x
2. Step 2: Convert to fraction form
   1,297.78/1,946.28 = 1,946.28/x
3. Step 3: Cross multiply
   1,297.78x = 1,946.28 × 1,946.28
4. Step 4: Simplify right side
   1,297.78x = 3,787,991.70
5. Step 5: Solve for x
   x = 3,787,991.70/1,297.78
6. Step 6: Final answer
   x = 2,918.81