Finding the Third Proportional to 830.25 and 1,804.15

Step by Step Solution

1. Step 1: Write the proportion equation
   830.25 : 1,804.15 = 1,804.15 : x
2. Step 2: Convert to fraction form
   830.25/1,804.15 = 1,804.15/x
3. Step 3: Cross multiply
   830.25x = 1,804.15 × 1,804.15
4. Step 4: Simplify right side
   830.25x = 3,254,951.58
5. Step 5: Solve for x
   x = 3,254,951.58/830.25
6. Step 6: Final answer
   x = 3,920.45