Finding the Third Proportional to 41,072 and 58,184

Step by Step Solution

1. Step 1: Write the proportion equation
   41,072 : 58,184 = 58,184 : x
2. Step 2: Convert to fraction form
   41,072/58,184 = 58,184/x
3. Step 3: Cross multiply
   41,072x = 58,184 × 58,184
4. Step 4: Simplify right side
   41,072x = 3,385,377,856
5. Step 5: Solve for x
   x = 3,385,377,856/41,072
6. Step 6: Final answer
   x = 82,425.44