Finding the Third Proportional to 34,858 and 82,825

Step by Step Solution

1. Step 1: Write the proportion equation
   34,858 : 82,825 = 82,825 : x
2. Step 2: Convert to fraction form
   34,858/82,825 = 82,825/x
3. Step 3: Cross multiply
   34,858x = 82,825 × 82,825
4. Step 4: Simplify right side
   34,858x = 6,859,980,625
5. Step 5: Solve for x
   x = 6,859,980,625/34,858
6. Step 6: Final answer
   x = 196,797.88