Finding the Third Proportional to 12,196 and 17,270

Step by Step Solution

1. Step 1: Write the proportion equation
   12,196 : 17,270 = 17,270 : x
2. Step 2: Convert to fraction form
   12,196/17,270 = 17,270/x
3. Step 3: Cross multiply
   12,196x = 17,270 × 17,270
4. Step 4: Simplify right side
   12,196x = 298,252,900
5. Step 5: Solve for x
   x = 298,252,900/12,196
6. Step 6: Final answer
   x = 24,454.98