Finding the Third Proportional to 10,927 and 17,414

Step by Step Solution

1. Step 1: Write the proportion equation
   10,927 : 17,414 = 17,414 : x
2. Step 2: Convert to fraction form
   10,927/17,414 = 17,414/x
3. Step 3: Cross multiply
   10,927x = 17,414 × 17,414
4. Step 4: Simplify right side
   10,927x = 303,247,396
5. Step 5: Solve for x
   x = 303,247,396/10,927
6. Step 6: Final answer
   x = 27,752.12