Finding the Third Proportional to 1,825.35 and 3,768.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,825.35 : 3,768.40 = 3,768.40 : x
2. Step 2: Convert to fraction form
   1,825.35/3,768.40 = 3,768.40/x
3. Step 3: Cross multiply
   1,825.35x = 3,768.40 × 3,768.40
4. Step 4: Simplify right side
   1,825.35x = 14,200,826.78
5. Step 5: Solve for x
   x = 14,200,826.78/1,825.35
6. Step 6: Final answer
   x = 7,779.79