Finding the Third Proportional to 7,162 and 13,766

Step by Step Solution

1. Step 1: Write the proportion equation
   7,162 : 13,766 = 13,766 : x
2. Step 2: Convert to fraction form
   7,162/13,766 = 13,766/x
3. Step 3: Cross multiply
   7,162x = 13,766 × 13,766
4. Step 4: Simplify right side
   7,162x = 189,502,756
5. Step 5: Solve for x
   x = 189,502,756/7,162
6. Step 6: Final answer
   x = 26,459.47