Finding the Third Proportional to 11,456 and 17,512

Step by Step Solution

1. Step 1: Write the proportion equation
   11,456 : 17,512 = 17,512 : x
2. Step 2: Convert to fraction form
   11,456/17,512 = 17,512/x
3. Step 3: Cross multiply
   11,456x = 17,512 × 17,512
4. Step 4: Simplify right side
   11,456x = 306,670,144
5. Step 5: Solve for x
   x = 306,670,144/11,456
6. Step 6: Final answer
   x = 26,769.39