Finding the Third Proportional to 5,012 and 10,344

Step by Step Solution

1. Step 1: Write the proportion equation
   5,012 : 10,344 = 10,344 : x
2. Step 2: Convert to fraction form
   5,012/10,344 = 10,344/x
3. Step 3: Cross multiply
   5,012x = 10,344 × 10,344
4. Step 4: Simplify right side
   5,012x = 106,998,336
5. Step 5: Solve for x
   x = 106,998,336/5,012
6. Step 6: Final answer
   x = 21,348.43