Finding the Third Proportional to 1,804.78 and 2,405.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,804.78 : 2,405.95 = 2,405.95 : x
2. Step 2: Convert to fraction form
   1,804.78/2,405.95 = 2,405.95/x
3. Step 3: Cross multiply
   1,804.78x = 2,405.95 × 2,405.95
4. Step 4: Simplify right side
   1,804.78x = 5,788,610.44
5. Step 5: Solve for x
   x = 5,788,610.44/1,804.78
6. Step 6: Final answer
   x = 3,207.38