Finding the Third Proportional to 41,184 and 83,825

Step by Step Solution

1. Step 1: Write the proportion equation
   41,184 : 83,825 = 83,825 : x
2. Step 2: Convert to fraction form
   41,184/83,825 = 83,825/x
3. Step 3: Cross multiply
   41,184x = 83,825 × 83,825
4. Step 4: Simplify right side
   41,184x = 7,026,630,625
5. Step 5: Solve for x
   x = 7,026,630,625/41,184
6. Step 6: Final answer
   x = 170,615.55