Finding the Third Proportional to 10,556 and 22,840

Step by Step Solution

1. Step 1: Write the proportion equation
   10,556 : 22,840 = 22,840 : x
2. Step 2: Convert to fraction form
   10,556/22,840 = 22,840/x
3. Step 3: Cross multiply
   10,556x = 22,840 × 22,840
4. Step 4: Simplify right side
   10,556x = 521,665,600
5. Step 5: Solve for x
   x = 521,665,600/10,556
6. Step 6: Final answer
   x = 49,418.87