Finding the Third Proportional to 1,785.38 and 3,732.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,785.38 : 3,732.75 = 3,732.75 : x
2. Step 2: Convert to fraction form
   1,785.38/3,732.75 = 3,732.75/x
3. Step 3: Cross multiply
   1,785.38x = 3,732.75 × 3,732.75
4. Step 4: Simplify right side
   1,785.38x = 13,933,422.56
5. Step 5: Solve for x
   x = 13,933,422.56/1,785.38
6. Step 6: Final answer
   x = 7,804.20