Finding the Third Proportional to 11,782 and 25,609

Step by Step Solution

1. Step 1: Write the proportion equation
   11,782 : 25,609 = 25,609 : x
2. Step 2: Convert to fraction form
   11,782/25,609 = 25,609/x
3. Step 3: Cross multiply
   11,782x = 25,609 × 25,609
4. Step 4: Simplify right side
   11,782x = 655,820,881
5. Step 5: Solve for x
   x = 655,820,881/11,782
6. Step 6: Final answer
   x = 55,662.95