Finding the Third Proportional to 25,843 and 52,782

Step by Step Solution

1. Step 1: Write the proportion equation
   25,843 : 52,782 = 52,782 : x
2. Step 2: Convert to fraction form
   25,843/52,782 = 52,782/x
3. Step 3: Cross multiply
   25,843x = 52,782 × 52,782
4. Step 4: Simplify right side
   25,843x = 2,785,939,524
5. Step 5: Solve for x
   x = 2,785,939,524/25,843
6. Step 6: Final answer
   x = 107,802.48