Finding the Third Proportional to 1,745.30 and 2,485.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,745.30 : 2,485.69 = 2,485.69 : x
2. Step 2: Convert to fraction form
   1,745.30/2,485.69 = 2,485.69/x
3. Step 3: Cross multiply
   1,745.30x = 2,485.69 × 2,485.69
4. Step 4: Simplify right side
   1,745.30x = 6,178,642.35
5. Step 5: Solve for x
   x = 6,178,642.35/1,745.30
6. Step 6: Final answer
   x = 3,540.17