Finding the Third Proportional to 5,136.75 and 7,684.03

Step by Step Solution

1. Step 1: Write the proportion equation
   5,136.75 : 7,684.03 = 7,684.03 : x
2. Step 2: Convert to fraction form
   5,136.75/7,684.03 = 7,684.03/x
3. Step 3: Cross multiply
   5,136.75x = 7,684.03 × 7,684.03
4. Step 4: Simplify right side
   5,136.75x = 59,044,336.25
5. Step 5: Solve for x
   x = 59,044,336.25/5,136.75
6. Step 6: Final answer
   x = 11,494.49