Finding the Third Proportional to 5,164 and 10,508

Step by Step Solution

1. Step 1: Write the proportion equation
   5,164 : 10,508 = 10,508 : x
2. Step 2: Convert to fraction form
   5,164/10,508 = 10,508/x
3. Step 3: Cross multiply
   5,164x = 10,508 × 10,508
4. Step 4: Simplify right side
   5,164x = 110,418,064
5. Step 5: Solve for x
   x = 110,418,064/5,164
6. Step 6: Final answer
   x = 21,382.27