Finding the Third Proportional to 5,422 and 10,574

Step by Step Solution

1. Step 1: Write the proportion equation
   5,422 : 10,574 = 10,574 : x
2. Step 2: Convert to fraction form
   5,422/10,574 = 10,574/x
3. Step 3: Cross multiply
   5,422x = 10,574 × 10,574
4. Step 4: Simplify right side
   5,422x = 111,809,476
5. Step 5: Solve for x
   x = 111,809,476/5,422
6. Step 6: Final answer
   x = 20,621.45