Finding the Third Proportional to 9,096 and 13,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096 : 13,639.50 = 13,639.50 : x
2. Step 2: Convert to fraction form
   9,096/13,639.50 = 13,639.50/x
3. Step 3: Cross multiply
   9,096x = 13,639.50 × 13,639.50
4. Step 4: Simplify right side
   9,096x = 186,035,960.25
5. Step 5: Solve for x
   x = 186,035,960.25/9,096
6. Step 6: Final answer
   x = 20,452.50