Finding the Third Proportional to 25,790 and 56,441

Step by Step Solution

1. Step 1: Write the proportion equation
   25,790 : 56,441 = 56,441 : x
2. Step 2: Convert to fraction form
   25,790/56,441 = 56,441/x
3. Step 3: Cross multiply
   25,790x = 56,441 × 56,441
4. Step 4: Simplify right side
   25,790x = 3,185,586,481
5. Step 5: Solve for x
   x = 3,185,586,481/25,790
6. Step 6: Final answer
   x = 123,520.22