Finding the Third Proportional to 10,784 and 18,112

Step by Step Solution

1. Step 1: Write the proportion equation
   10,784 : 18,112 = 18,112 : x
2. Step 2: Convert to fraction form
   10,784/18,112 = 18,112/x
3. Step 3: Cross multiply
   10,784x = 18,112 × 18,112
4. Step 4: Simplify right side
   10,784x = 328,044,544
5. Step 5: Solve for x
   x = 328,044,544/10,784
6. Step 6: Final answer
   x = 30,419.56