Finding the Third Proportional to 3,507.75 and 5,230.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,507.75 : 5,230.69 = 5,230.69 : x
2. Step 2: Convert to fraction form
   3,507.75/5,230.69 = 5,230.69/x
3. Step 3: Cross multiply
   3,507.75x = 5,230.69 × 5,230.69
4. Step 4: Simplify right side
   3,507.75x = 27,360,091.72
5. Step 5: Solve for x
   x = 27,360,091.72/3,507.75
6. Step 6: Final answer
   x = 7,799.90