Finding the Third Proportional to 11,296 and 20,162

Step by Step Solution

1. Step 1: Write the proportion equation
   11,296 : 20,162 = 20,162 : x
2. Step 2: Convert to fraction form
   11,296/20,162 = 20,162/x
3. Step 3: Cross multiply
   11,296x = 20,162 × 20,162
4. Step 4: Simplify right side
   11,296x = 406,506,244
5. Step 5: Solve for x
   x = 406,506,244/11,296
6. Step 6: Final answer
   x = 35,986.74