Finding the Third Proportional to 4,362 and 10,563

Step by Step Solution

1. Step 1: Write the proportion equation
   4,362 : 10,563 = 10,563 : x
2. Step 2: Convert to fraction form
   4,362/10,563 = 10,563/x
3. Step 3: Cross multiply
   4,362x = 10,563 × 10,563
4. Step 4: Simplify right side
   4,362x = 111,576,969
5. Step 5: Solve for x
   x = 111,576,969/4,362
6. Step 6: Final answer
   x = 25,579.31