Finding the Third Proportional to 11,530 and 16,326

Step by Step Solution

1. Step 1: Write the proportion equation
   11,530 : 16,326 = 16,326 : x
2. Step 2: Convert to fraction form
   11,530/16,326 = 16,326/x
3. Step 3: Cross multiply
   11,530x = 16,326 × 16,326
4. Step 4: Simplify right side
   11,530x = 266,538,276
5. Step 5: Solve for x
   x = 266,538,276/11,530
6. Step 6: Final answer
   x = 23,116.94