Finding the Third Proportional to 1,735.59 and 3,797.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,735.59 : 3,797.72 = 3,797.72 : x
2. Step 2: Convert to fraction form
   1,735.59/3,797.72 = 3,797.72/x
3. Step 3: Cross multiply
   1,735.59x = 3,797.72 × 3,797.72
4. Step 4: Simplify right side
   1,735.59x = 14,422,667.70
5. Step 5: Solve for x
   x = 14,422,667.70/1,735.59
6. Step 6: Final answer
   x = 8,309.93