Finding the Third Proportional to 11,456 and 17,276

Step by Step Solution

1. Step 1: Write the proportion equation
   11,456 : 17,276 = 17,276 : x
2. Step 2: Convert to fraction form
   11,456/17,276 = 17,276/x
3. Step 3: Cross multiply
   11,456x = 17,276 × 17,276
4. Step 4: Simplify right side
   11,456x = 298,460,176
5. Step 5: Solve for x
   x = 298,460,176/11,456
6. Step 6: Final answer
   x = 26,052.74