Finding the Third Proportional to 1,256.25 and 1,944.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.25 : 1,944.75 = 1,944.75 : x
2. Step 2: Convert to fraction form
   1,256.25/1,944.75 = 1,944.75/x
3. Step 3: Cross multiply
   1,256.25x = 1,944.75 × 1,944.75
4. Step 4: Simplify right side
   1,256.25x = 3,782,052.56
5. Step 5: Solve for x
   x = 3,782,052.56/1,256.25
6. Step 6: Final answer
   x = 3,010.59