Finding the Third Proportional to 1,900.88 and 2,785.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,900.88 : 2,785.69 = 2,785.69 : x
2. Step 2: Convert to fraction form
   1,900.88/2,785.69 = 2,785.69/x
3. Step 3: Cross multiply
   1,900.88x = 2,785.69 × 2,785.69
4. Step 4: Simplify right side
   1,900.88x = 7,760,054.85
5. Step 5: Solve for x
   x = 7,760,054.85/1,900.88
6. Step 6: Final answer
   x = 4,082.36