Finding the Third Proportional to 11,659 and 25,955

Step by Step Solution

1. Step 1: Write the proportion equation
   11,659 : 25,955 = 25,955 : x
2. Step 2: Convert to fraction form
   11,659/25,955 = 25,955/x
3. Step 3: Cross multiply
   11,659x = 25,955 × 25,955
4. Step 4: Simplify right side
   11,659x = 673,662,025
5. Step 5: Solve for x
   x = 673,662,025/11,659
6. Step 6: Final answer
   x = 57,780.43