Finding the Third Proportional to 5,170 and 10,460

Step by Step Solution

1. Step 1: Write the proportion equation
   5,170 : 10,460 = 10,460 : x
2. Step 2: Convert to fraction form
   5,170/10,460 = 10,460/x
3. Step 3: Cross multiply
   5,170x = 10,460 × 10,460
4. Step 4: Simplify right side
   5,170x = 109,411,600
5. Step 5: Solve for x
   x = 109,411,600/5,170
6. Step 6: Final answer
   x = 21,162.79