Finding the Third Proportional to 1,785.75 and 3,685.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,785.75 : 3,685.25 = 3,685.25 : x
2. Step 2: Convert to fraction form
   1,785.75/3,685.25 = 3,685.25/x
3. Step 3: Cross multiply
   1,785.75x = 3,685.25 × 3,685.25
4. Step 4: Simplify right side
   1,785.75x = 13,581,067.56
5. Step 5: Solve for x
   x = 13,581,067.56/1,785.75
6. Step 6: Final answer
   x = 7,605.25