Finding the Third Proportional to 10,556 and 19,570

Step by Step Solution

1. Step 1: Write the proportion equation
   10,556 : 19,570 = 19,570 : x
2. Step 2: Convert to fraction form
   10,556/19,570 = 19,570/x
3. Step 3: Cross multiply
   10,556x = 19,570 × 19,570
4. Step 4: Simplify right side
   10,556x = 382,984,900
5. Step 5: Solve for x
   x = 382,984,900/10,556
6. Step 6: Final answer
   x = 36,281.25