Finding the Third Proportional to 5,104.69 and 7,805.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,104.69 : 7,805.53 = 7,805.53 : x
2. Step 2: Convert to fraction form
   5,104.69/7,805.53 = 7,805.53/x
3. Step 3: Cross multiply
   5,104.69x = 7,805.53 × 7,805.53
4. Step 4: Simplify right side
   5,104.69x = 60,926,318.09
5. Step 5: Solve for x
   x = 60,926,318.09/5,104.69
6. Step 6: Final answer
   x = 11,935.37