Finding the Third Proportional to 25,758 and 56,442

Step by Step Solution

1. Step 1: Write the proportion equation
   25,758 : 56,442 = 56,442 : x
2. Step 2: Convert to fraction form
   25,758/56,442 = 56,442/x
3. Step 3: Cross multiply
   25,758x = 56,442 × 56,442
4. Step 4: Simplify right side
   25,758x = 3,185,699,364
5. Step 5: Solve for x
   x = 3,185,699,364/25,758
6. Step 6: Final answer
   x = 123,678.06