Finding the Third Proportional to 843.75 and 1,513.69

Step by Step Solution

1. Step 1: Write the proportion equation
   843.75 : 1,513.69 = 1,513.69 : x
2. Step 2: Convert to fraction form
   843.75/1,513.69 = 1,513.69/x
3. Step 3: Cross multiply
   843.75x = 1,513.69 × 1,513.69
4. Step 4: Simplify right side
   843.75x = 2,291,249.85
5. Step 5: Solve for x
   x = 2,291,249.85/843.75
6. Step 6: Final answer
   x = 2,715.56