Finding the Third Proportional to 709.75 and 709.75

Step by Step Solution

1. Step 1: Write the proportion equation
   709.75 : 709.75 = 709.75 : x
2. Step 2: Convert to fraction form
   709.75/709.75 = 709.75/x
3. Step 3: Cross multiply
   709.75x = 709.75 × 709.75
4. Step 4: Simplify right side
   709.75x = 503,745.06
5. Step 5: Solve for x
   x = 503,745.06/709.75
6. Step 6: Final answer
   x = 709.75