Finding the Third Proportional to 10,986 and 14,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,986 : 14,683.50 = 14,683.50 : x
2. Step 2: Convert to fraction form
   10,986/14,683.50 = 14,683.50/x
3. Step 3: Cross multiply
   10,986x = 14,683.50 × 14,683.50
4. Step 4: Simplify right side
   10,986x = 215,605,172.25
5. Step 5: Solve for x
   x = 215,605,172.25/10,986
6. Step 6: Final answer
   x = 19,625.45