Finding the Third Proportional to 25,824 and 56,563

Step by Step Solution

1. Step 1: Write the proportion equation
   25,824 : 56,563 = 56,563 : x
2. Step 2: Convert to fraction form
   25,824/56,563 = 56,563/x
3. Step 3: Cross multiply
   25,824x = 56,563 × 56,563
4. Step 4: Simplify right side
   25,824x = 3,199,372,969
5. Step 5: Solve for x
   x = 3,199,372,969/25,824
6. Step 6: Final answer
   x = 123,891.46