Finding the Third Proportional to 18,096 and 37,356

Step by Step Solution

1. Step 1: Write the proportion equation
   18,096 : 37,356 = 37,356 : x
2. Step 2: Convert to fraction form
   18,096/37,356 = 37,356/x
3. Step 3: Cross multiply
   18,096x = 37,356 × 37,356
4. Step 4: Simplify right side
   18,096x = 1,395,470,736
5. Step 5: Solve for x
   x = 1,395,470,736/18,096
6. Step 6: Final answer
   x = 77,114.87