Finding the Third Proportional to 25,886 and 57,604

Step by Step Solution

1. Step 1: Write the proportion equation
   25,886 : 57,604 = 57,604 : x
2. Step 2: Convert to fraction form
   25,886/57,604 = 57,604/x
3. Step 3: Cross multiply
   25,886x = 57,604 × 57,604
4. Step 4: Simplify right side
   25,886x = 3,318,220,816
5. Step 5: Solve for x
   x = 3,318,220,816/25,886
6. Step 6: Final answer
   x = 128,185.92