Finding the Third Proportional to 25,802 and 56,302

Step by Step Solution

1. Step 1: Write the proportion equation
   25,802 : 56,302 = 56,302 : x
2. Step 2: Convert to fraction form
   25,802/56,302 = 56,302/x
3. Step 3: Cross multiply
   25,802x = 56,302 × 56,302
4. Step 4: Simplify right side
   25,802x = 3,169,915,204
5. Step 5: Solve for x
   x = 3,169,915,204/25,802
6. Step 6: Final answer
   x = 122,855.41