Finding the Third Proportional to 37,696 and 82,844

Step by Step Solution

1. Step 1: Write the proportion equation
   37,696 : 82,844 = 82,844 : x
2. Step 2: Convert to fraction form
   37,696/82,844 = 82,844/x
3. Step 3: Cross multiply
   37,696x = 82,844 × 82,844
4. Step 4: Simplify right side
   37,696x = 6,863,128,336
5. Step 5: Solve for x
   x = 6,863,128,336/37,696
6. Step 6: Final answer
   x = 182,065.16