Finding the Third Proportional to 10,446 and 21,583

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446 : 21,583 = 21,583 : x
2. Step 2: Convert to fraction form
   10,446/21,583 = 21,583/x
3. Step 3: Cross multiply
   10,446x = 21,583 × 21,583
4. Step 4: Simplify right side
   10,446x = 465,825,889
5. Step 5: Solve for x
   x = 465,825,889/10,446
6. Step 6: Final answer
   x = 44,593.71