Finding the Third Proportional to 12,288 and 17,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,288 : 17,311.50 = 17,311.50 : x
2. Step 2: Convert to fraction form
   12,288/17,311.50 = 17,311.50/x
3. Step 3: Cross multiply
   12,288x = 17,311.50 × 17,311.50
4. Step 4: Simplify right side
   12,288x = 299,688,032.25
5. Step 5: Solve for x
   x = 299,688,032.25/12,288
6. Step 6: Final answer
   x = 24,388.67