Finding the Third Proportional to 12,096 and 18,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,096 : 18,265.50 = 18,265.50 : x
2. Step 2: Convert to fraction form
   12,096/18,265.50 = 18,265.50/x
3. Step 3: Cross multiply
   12,096x = 18,265.50 × 18,265.50
4. Step 4: Simplify right side
   12,096x = 333,628,490.25
5. Step 5: Solve for x
   x = 333,628,490.25/12,096
6. Step 6: Final answer
   x = 27,581.72