Finding the Third Proportional to 683.25 and 1,404.75

Step by Step Solution

1. Step 1: Write the proportion equation
   683.25 : 1,404.75 = 1,404.75 : x
2. Step 2: Convert to fraction form
   683.25/1,404.75 = 1,404.75/x
3. Step 3: Cross multiply
   683.25x = 1,404.75 × 1,404.75
4. Step 4: Simplify right side
   683.25x = 1,973,322.56
5. Step 5: Solve for x
   x = 1,973,322.56/683.25
6. Step 6: Final answer
   x = 2,888.14