Finding the Third Proportional to 5,214 and 10,293

Step by Step Solution

1. Step 1: Write the proportion equation
   5,214 : 10,293 = 10,293 : x
2. Step 2: Convert to fraction form
   5,214/10,293 = 10,293/x
3. Step 3: Cross multiply
   5,214x = 10,293 × 10,293
4. Step 4: Simplify right side
   5,214x = 105,945,849
5. Step 5: Solve for x
   x = 105,945,849/5,214
6. Step 6: Final answer
   x = 20,319.50