Finding the Third Proportional to 25,420 and 35,858

Step by Step Solution

1. Step 1: Write the proportion equation
   25,420 : 35,858 = 35,858 : x
2. Step 2: Convert to fraction form
   25,420/35,858 = 35,858/x
3. Step 3: Cross multiply
   25,420x = 35,858 × 35,858
4. Step 4: Simplify right side
   25,420x = 1,285,796,164
5. Step 5: Solve for x
   x = 1,285,796,164/25,420
6. Step 6: Final answer
   x = 50,582.07