Finding the Third Proportional to 5,806.69 and 9,580.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,806.69 : 9,580.78 = 9,580.78 : x
2. Step 2: Convert to fraction form
   5,806.69/9,580.78 = 9,580.78/x
3. Step 3: Cross multiply
   5,806.69x = 9,580.78 × 9,580.78
4. Step 4: Simplify right side
   5,806.69x = 91,791,369.36
5. Step 5: Solve for x
   x = 91,791,369.36/5,806.69
6. Step 6: Final answer
   x = 15,807.87