Finding the Third Proportional to 1,699.25 and 2,286.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,699.25 : 2,286.88 = 2,286.88 : x
2. Step 2: Convert to fraction form
   1,699.25/2,286.88 = 2,286.88/x
3. Step 3: Cross multiply
   1,699.25x = 2,286.88 × 2,286.88
4. Step 4: Simplify right side
   1,699.25x = 5,229,797.27
5. Step 5: Solve for x
   x = 5,229,797.27/1,699.25
6. Step 6: Final answer
   x = 3,077.71