Finding the Third Proportional to 25,768 and 56,519

Step by Step Solution

1. Step 1: Write the proportion equation
   25,768 : 56,519 = 56,519 : x
2. Step 2: Convert to fraction form
   25,768/56,519 = 56,519/x
3. Step 3: Cross multiply
   25,768x = 56,519 × 56,519
4. Step 4: Simplify right side
   25,768x = 3,194,397,361
5. Step 5: Solve for x
   x = 3,194,397,361/25,768
6. Step 6: Final answer
   x = 123,967.61