Finding the Third Proportional to 799.25 and 1,746.25

Step by Step Solution

1. Step 1: Write the proportion equation
   799.25 : 1,746.25 = 1,746.25 : x
2. Step 2: Convert to fraction form
   799.25/1,746.25 = 1,746.25/x
3. Step 3: Cross multiply
   799.25x = 1,746.25 × 1,746.25
4. Step 4: Simplify right side
   799.25x = 3,049,389.06
5. Step 5: Solve for x
   x = 3,049,389.06/799.25
6. Step 6: Final answer
   x = 3,815.31