Finding the Third Proportional to 796.88 and 1,725.94

Step by Step Solution

1. Step 1: Write the proportion equation
   796.88 : 1,725.94 = 1,725.94 : x
2. Step 2: Convert to fraction form
   796.88/1,725.94 = 1,725.94/x
3. Step 3: Cross multiply
   796.88x = 1,725.94 × 1,725.94
4. Step 4: Simplify right side
   796.88x = 2,978,860.25
5. Step 5: Solve for x
   x = 2,978,860.25/796.88
6. Step 6: Final answer
   x = 3,738.18