Finding the Third Proportional to 12,288 and 18,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,288 : 18,533.50 = 18,533.50 : x
2. Step 2: Convert to fraction form
   12,288/18,533.50 = 18,533.50/x
3. Step 3: Cross multiply
   12,288x = 18,533.50 × 18,533.50
4. Step 4: Simplify right side
   12,288x = 343,490,622.25
5. Step 5: Solve for x
   x = 343,490,622.25/12,288
6. Step 6: Final answer
   x = 27,953.34