Finding the Third Proportional to 5,114 and 10,556

Step by Step Solution

1. Step 1: Write the proportion equation
   5,114 : 10,556 = 10,556 : x
2. Step 2: Convert to fraction form
   5,114/10,556 = 10,556/x
3. Step 3: Cross multiply
   5,114x = 10,556 × 10,556
4. Step 4: Simplify right side
   5,114x = 111,429,136
5. Step 5: Solve for x
   x = 111,429,136/5,114
6. Step 6: Final answer
   x = 21,789.04