Finding the Third Proportional to 10,476.50 and 13,986.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,476.50 : 13,986.75 = 13,986.75 : x
2. Step 2: Convert to fraction form
   10,476.50/13,986.75 = 13,986.75/x
3. Step 3: Cross multiply
   10,476.50x = 13,986.75 × 13,986.75
4. Step 4: Simplify right side
   10,476.50x = 195,629,175.56
5. Step 5: Solve for x
   x = 195,629,175.56/10,476.50
6. Step 6: Final answer
   x = 18,673.14