Finding the Third Proportional to 5,153 and 10,580

Step by Step Solution

1. Step 1: Write the proportion equation
   5,153 : 10,580 = 10,580 : x
2. Step 2: Convert to fraction form
   5,153/10,580 = 10,580/x
3. Step 3: Cross multiply
   5,153x = 10,580 × 10,580
4. Step 4: Simplify right side
   5,153x = 111,936,400
5. Step 5: Solve for x
   x = 111,936,400/5,153
6. Step 6: Final answer
   x = 21,722.57