Finding the Third Proportional to 5,144.81 and 7,683.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,144.81 : 7,683.38 = 7,683.38 : x
2. Step 2: Convert to fraction form
   5,144.81/7,683.38 = 7,683.38/x
3. Step 3: Cross multiply
   5,144.81x = 7,683.38 × 7,683.38
4. Step 4: Simplify right side
   5,144.81x = 59,034,251.39
5. Step 5: Solve for x
   x = 59,034,251.39/5,144.81
6. Step 6: Final answer
   x = 11,474.52