Finding the Third Proportional to 25,740 and 56,401

Step by Step Solution

1. Step 1: Write the proportion equation
   25,740 : 56,401 = 56,401 : x
2. Step 2: Convert to fraction form
   25,740/56,401 = 56,401/x
3. Step 3: Cross multiply
   25,740x = 56,401 × 56,401
4. Step 4: Simplify right side
   25,740x = 3,181,072,801
5. Step 5: Solve for x
   x = 3,181,072,801/25,740
6. Step 6: Final answer
   x = 123,584.80