Finding the Third Proportional to 12,196 and 17,278

Step by Step Solution

1. Step 1: Write the proportion equation
   12,196 : 17,278 = 17,278 : x
2. Step 2: Convert to fraction form
   12,196/17,278 = 17,278/x
3. Step 3: Cross multiply
   12,196x = 17,278 × 17,278
4. Step 4: Simplify right side
   12,196x = 298,529,284
5. Step 5: Solve for x
   x = 298,529,284/12,196
6. Step 6: Final answer
   x = 24,477.64