Finding the Third Proportional to 4,932 and 10,420

Step by Step Solution

1. Step 1: Write the proportion equation
   4,932 : 10,420 = 10,420 : x
2. Step 2: Convert to fraction form
   4,932/10,420 = 10,420/x
3. Step 3: Cross multiply
   4,932x = 10,420 × 10,420
4. Step 4: Simplify right side
   4,932x = 108,576,400
5. Step 5: Solve for x
   x = 108,576,400/4,932
6. Step 6: Final answer
   x = 22,014.68