Finding the Third Proportional to 5,380 and 12,556

Step by Step Solution

1. Step 1: Write the proportion equation
   5,380 : 12,556 = 12,556 : x
2. Step 2: Convert to fraction form
   5,380/12,556 = 12,556/x
3. Step 3: Cross multiply
   5,380x = 12,556 × 12,556
4. Step 4: Simplify right side
   5,380x = 157,653,136
5. Step 5: Solve for x
   x = 157,653,136/5,380
6. Step 6: Final answer
   x = 29,303.56