Finding the Third Proportional to 4,136.63 and 8,065.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,136.63 : 8,065.69 = 8,065.69 : x
2. Step 2: Convert to fraction form
   4,136.63/8,065.69 = 8,065.69/x
3. Step 3: Cross multiply
   4,136.63x = 8,065.69 × 8,065.69
4. Step 4: Simplify right side
   4,136.63x = 65,055,314.85
5. Step 5: Solve for x
   x = 65,055,314.85/4,136.63
6. Step 6: Final answer
   x = 15,726.66