Finding the Third Proportional to 10,314 and 18,288

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314 : 18,288 = 18,288 : x
2. Step 2: Convert to fraction form
   10,314/18,288 = 18,288/x
3. Step 3: Cross multiply
   10,314x = 18,288 × 18,288
4. Step 4: Simplify right side
   10,314x = 334,450,944
5. Step 5: Solve for x
   x = 334,450,944/10,314
6. Step 6: Final answer
   x = 32,426.89