Finding the Third Proportional to 11,758 and 25,677

Step by Step Solution

1. Step 1: Write the proportion equation
   11,758 : 25,677 = 25,677 : x
2. Step 2: Convert to fraction form
   11,758/25,677 = 25,677/x
3. Step 3: Cross multiply
   11,758x = 25,677 × 25,677
4. Step 4: Simplify right side
   11,758x = 659,308,329
5. Step 5: Solve for x
   x = 659,308,329/11,758
6. Step 6: Final answer
   x = 56,073.17