Finding the Third Proportional to 25,947 and 57,077

Step by Step Solution

1. Step 1: Write the proportion equation
   25,947 : 57,077 = 57,077 : x
2. Step 2: Convert to fraction form
   25,947/57,077 = 57,077/x
3. Step 3: Cross multiply
   25,947x = 57,077 × 57,077
4. Step 4: Simplify right side
   25,947x = 3,257,783,929
5. Step 5: Solve for x
   x = 3,257,783,929/25,947
6. Step 6: Final answer
   x = 125,555.32