Finding the Third Proportional to 8,380 and 18,196

Step by Step Solution

1. Step 1: Write the proportion equation
   8,380 : 18,196 = 18,196 : x
2. Step 2: Convert to fraction form
   8,380/18,196 = 18,196/x
3. Step 3: Cross multiply
   8,380x = 18,196 × 18,196
4. Step 4: Simplify right side
   8,380x = 331,094,416
5. Step 5: Solve for x
   x = 331,094,416/8,380
6. Step 6: Final answer
   x = 39,510.07