Finding the Third Proportional to 11,456 and 18,294

Step by Step Solution

1. Step 1: Write the proportion equation
   11,456 : 18,294 = 18,294 : x
2. Step 2: Convert to fraction form
   11,456/18,294 = 18,294/x
3. Step 3: Cross multiply
   11,456x = 18,294 × 18,294
4. Step 4: Simplify right side
   11,456x = 334,670,436
5. Step 5: Solve for x
   x = 334,670,436/11,456
6. Step 6: Final answer
   x = 29,213.55