Finding the Third Proportional to 10,946 and 17,427

Step by Step Solution

1. Step 1: Write the proportion equation
   10,946 : 17,427 = 17,427 : x
2. Step 2: Convert to fraction form
   10,946/17,427 = 17,427/x
3. Step 3: Cross multiply
   10,946x = 17,427 × 17,427
4. Step 4: Simplify right side
   10,946x = 303,700,329
5. Step 5: Solve for x
   x = 303,700,329/10,946
6. Step 6: Final answer
   x = 27,745.33