Finding the Third Proportional to 11,790 and 25,685

Step by Step Solution

1. Step 1: Write the proportion equation
   11,790 : 25,685 = 25,685 : x
2. Step 2: Convert to fraction form
   11,790/25,685 = 25,685/x
3. Step 3: Cross multiply
   11,790x = 25,685 × 25,685
4. Step 4: Simplify right side
   11,790x = 659,719,225
5. Step 5: Solve for x
   x = 659,719,225/11,790
6. Step 6: Final answer
   x = 55,955.83