Finding the Third Proportional to 1,404.50 and 3,314.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.50 : 3,314.75 = 3,314.75 : x
2. Step 2: Convert to fraction form
   1,404.50/3,314.75 = 3,314.75/x
3. Step 3: Cross multiply
   1,404.50x = 3,314.75 × 3,314.75
4. Step 4: Simplify right side
   1,404.50x = 10,987,567.56
5. Step 5: Solve for x
   x = 10,987,567.56/1,404.50
6. Step 6: Final answer
   x = 7,823.12