Finding the Third Proportional to 37,746 and 82,042

Step by Step Solution

1. Step 1: Write the proportion equation
   37,746 : 82,042 = 82,042 : x
2. Step 2: Convert to fraction form
   37,746/82,042 = 82,042/x
3. Step 3: Cross multiply
   37,746x = 82,042 × 82,042
4. Step 4: Simplify right side
   37,746x = 6,730,889,764
5. Step 5: Solve for x
   x = 6,730,889,764/37,746
6. Step 6: Final answer
   x = 178,320.61