Finding the Third Proportional to 3,808.69 and 5,969.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,808.69 : 5,969.53 = 5,969.53 : x
2. Step 2: Convert to fraction form
   3,808.69/5,969.53 = 5,969.53/x
3. Step 3: Cross multiply
   3,808.69x = 5,969.53 × 5,969.53
4. Step 4: Simplify right side
   3,808.69x = 35,635,303.34
5. Step 5: Solve for x
   x = 35,635,303.34/3,808.69
6. Step 6: Final answer
   x = 9,356.32