Finding the Third Proportional to 11,802 and 25,782

Step by Step Solution

1. Step 1: Write the proportion equation
   11,802 : 25,782 = 25,782 : x
2. Step 2: Convert to fraction form
   11,802/25,782 = 25,782/x
3. Step 3: Cross multiply
   11,802x = 25,782 × 25,782
4. Step 4: Simplify right side
   11,802x = 664,711,524
5. Step 5: Solve for x
   x = 664,711,524/11,802
6. Step 6: Final answer
   x = 56,321.94