Finding the Third Proportional to 1,321.75 and 1,738.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,321.75 : 1,738.38 = 1,738.38 : x
2. Step 2: Convert to fraction form
   1,321.75/1,738.38 = 1,738.38/x
3. Step 3: Cross multiply
   1,321.75x = 1,738.38 × 1,738.38
4. Step 4: Simplify right side
   1,321.75x = 3,021,947.64
5. Step 5: Solve for x
   x = 3,021,947.64/1,321.75
6. Step 6: Final answer
   x = 2,286.32