Finding the Third Proportional to 11,758 and 25,685

Step by Step Solution

1. Step 1: Write the proportion equation
   11,758 : 25,685 = 25,685 : x
2. Step 2: Convert to fraction form
   11,758/25,685 = 25,685/x
3. Step 3: Cross multiply
   11,758x = 25,685 × 25,685
4. Step 4: Simplify right side
   11,758x = 659,719,225
5. Step 5: Solve for x
   x = 659,719,225/11,758
6. Step 6: Final answer
   x = 56,108.12