Finding the Third Proportional to 11,768 and 25,682

Step by Step Solution

1. Step 1: Write the proportion equation
   11,768 : 25,682 = 25,682 : x
2. Step 2: Convert to fraction form
   11,768/25,682 = 25,682/x
3. Step 3: Cross multiply
   11,768x = 25,682 × 25,682
4. Step 4: Simplify right side
   11,768x = 659,565,124
5. Step 5: Solve for x
   x = 659,565,124/11,768
6. Step 6: Final answer
   x = 56,047.34