Finding the Third Proportional to 10,200 and 18,288

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200 : 18,288 = 18,288 : x
2. Step 2: Convert to fraction form
   10,200/18,288 = 18,288/x
3. Step 3: Cross multiply
   10,200x = 18,288 × 18,288
4. Step 4: Simplify right side
   10,200x = 334,450,944
5. Step 5: Solve for x
   x = 334,450,944/10,200
6. Step 6: Final answer
   x = 32,789.31