Finding the Third Proportional to 9,584 and 20,326

Step by Step Solution

1. Step 1: Write the proportion equation
   9,584 : 20,326 = 20,326 : x
2. Step 2: Convert to fraction form
   9,584/20,326 = 20,326/x
3. Step 3: Cross multiply
   9,584x = 20,326 × 20,326
4. Step 4: Simplify right side
   9,584x = 413,146,276
5. Step 5: Solve for x
   x = 413,146,276/9,584
6. Step 6: Final answer
   x = 43,107.92