Finding the Third Proportional to 654.75 and 1,404.56

Step by Step Solution

1. Step 1: Write the proportion equation
   654.75 : 1,404.56 = 1,404.56 : x
2. Step 2: Convert to fraction form
   654.75/1,404.56 = 1,404.56/x
3. Step 3: Cross multiply
   654.75x = 1,404.56 × 1,404.56
4. Step 4: Simplify right side
   654.75x = 1,972,795.82
5. Step 5: Solve for x
   x = 1,972,795.82/654.75
6. Step 6: Final answer
   x = 3,013.05