Finding the Third Proportional to 9,584 and 21,031

Step by Step Solution

1. Step 1: Write the proportion equation
   9,584 : 21,031 = 21,031 : x
2. Step 2: Convert to fraction form
   9,584/21,031 = 21,031/x
3. Step 3: Cross multiply
   9,584x = 21,031 × 21,031
4. Step 4: Simplify right side
   9,584x = 442,302,961
5. Step 5: Solve for x
   x = 442,302,961/9,584
6. Step 6: Final answer
   x = 46,150.14