Finding the Third Proportional to 17,676 and 26,162

Step by Step Solution

1. Step 1: Write the proportion equation
   17,676 : 26,162 = 26,162 : x
2. Step 2: Convert to fraction form
   17,676/26,162 = 26,162/x
3. Step 3: Cross multiply
   17,676x = 26,162 × 26,162
4. Step 4: Simplify right side
   17,676x = 684,450,244
5. Step 5: Solve for x
   x = 684,450,244/17,676
6. Step 6: Final answer
   x = 38,722.01