Finding the Third Proportional to 10,080.75 and 13,685.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,080.75 : 13,685.25 = 13,685.25 : x
2. Step 2: Convert to fraction form
   10,080.75/13,685.25 = 13,685.25/x
3. Step 3: Cross multiply
   10,080.75x = 13,685.25 × 13,685.25
4. Step 4: Simplify right side
   10,080.75x = 187,286,067.56
5. Step 5: Solve for x
   x = 187,286,067.56/10,080.75
6. Step 6: Final answer
   x = 18,578.58