Finding the Third Proportional to 1,735.59 and 3,535.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,735.59 : 3,535.73 = 3,535.73 : x
2. Step 2: Convert to fraction form
   1,735.59/3,535.73 = 3,535.73/x
3. Step 3: Cross multiply
   1,735.59x = 3,535.73 × 3,535.73
4. Step 4: Simplify right side
   1,735.59x = 12,501,417.57
5. Step 5: Solve for x
   x = 12,501,417.57/1,735.59
6. Step 6: Final answer
   x = 7,202.96