Finding the Third Proportional to 1,745.30 and 3,798.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,745.30 : 3,798.35 = 3,798.35 : x
2. Step 2: Convert to fraction form
   1,745.30/3,798.35 = 3,798.35/x
3. Step 3: Cross multiply
   1,745.30x = 3,798.35 × 3,798.35
4. Step 4: Simplify right side
   1,745.30x = 14,427,474.59
5. Step 5: Solve for x
   x = 14,427,474.59/1,745.30
6. Step 6: Final answer
   x = 8,266.49