Finding the Third Proportional to 25,764 and 56,454

Step by Step Solution

1. Step 1: Write the proportion equation
   25,764 : 56,454 = 56,454 : x
2. Step 2: Convert to fraction form
   25,764/56,454 = 56,454/x
3. Step 3: Cross multiply
   25,764x = 56,454 × 56,454
4. Step 4: Simplify right side
   25,764x = 3,187,054,116
5. Step 5: Solve for x
   x = 3,187,054,116/25,764
6. Step 6: Final answer
   x = 123,701.84