Finding the Third Proportional to 5,384 and 10,024

Step by Step Solution

1. Step 1: Write the proportion equation
   5,384 : 10,024 = 10,024 : x
2. Step 2: Convert to fraction form
   5,384/10,024 = 10,024/x
3. Step 3: Cross multiply
   5,384x = 10,024 × 10,024
4. Step 4: Simplify right side
   5,384x = 100,480,576
5. Step 5: Solve for x
   x = 100,480,576/5,384
6. Step 6: Final answer
   x = 18,662.81