Finding the Third Proportional to 11,509 and 25,171

Step by Step Solution

1. Step 1: Write the proportion equation
   11,509 : 25,171 = 25,171 : x
2. Step 2: Convert to fraction form
   11,509/25,171 = 25,171/x
3. Step 3: Cross multiply
   11,509x = 25,171 × 25,171
4. Step 4: Simplify right side
   11,509x = 633,579,241
5. Step 5: Solve for x
   x = 633,579,241/11,509
6. Step 6: Final answer
   x = 55,050.76