Finding the Third Proportional to 732.50 and 1,726

Step by Step Solution

1. Step 1: Write the proportion equation
   732.50 : 1,726 = 1,726 : x
2. Step 2: Convert to fraction form
   732.50/1,726 = 1,726/x
3. Step 3: Cross multiply
   732.50x = 1,726 × 1,726
4. Step 4: Simplify right side
   732.50x = 2,979,076
5. Step 5: Solve for x
   x = 2,979,076/732.50
6. Step 6: Final answer
   x = 4,067.00