Finding the Third Proportional to 7,166 and 10,961

Step by Step Solution

1. Step 1: Write the proportion equation
   7,166 : 10,961 = 10,961 : x
2. Step 2: Convert to fraction form
   7,166/10,961 = 10,961/x
3. Step 3: Cross multiply
   7,166x = 10,961 × 10,961
4. Step 4: Simplify right side
   7,166x = 120,143,521
5. Step 5: Solve for x
   x = 120,143,521/7,166
6. Step 6: Final answer
   x = 16,765.77