Finding the Third Proportional to 11,782 and 25,610

Step by Step Solution

1. Step 1: Write the proportion equation
   11,782 : 25,610 = 25,610 : x
2. Step 2: Convert to fraction form
   11,782/25,610 = 25,610/x
3. Step 3: Cross multiply
   11,782x = 25,610 × 25,610
4. Step 4: Simplify right side
   11,782x = 655,872,100
5. Step 5: Solve for x
   x = 655,872,100/11,782
6. Step 6: Final answer
   x = 55,667.30