Finding the Third Proportional to 25,857 and 56,412

Step by Step Solution

1. Step 1: Write the proportion equation
   25,857 : 56,412 = 56,412 : x
2. Step 2: Convert to fraction form
   25,857/56,412 = 56,412/x
3. Step 3: Cross multiply
   25,857x = 56,412 × 56,412
4. Step 4: Simplify right side
   25,857x = 3,182,313,744
5. Step 5: Solve for x
   x = 3,182,313,744/25,857
6. Step 6: Final answer
   x = 123,073.59