Finding the Third Proportional to 37,882.69 and 82,415.81

Step by Step Solution

1. Step 1: Write the proportion equation
   37,882.69 : 82,415.81 = 82,415.81 : x
2. Step 2: Convert to fraction form
   37,882.69/82,415.81 = 82,415.81/x
3. Step 3: Cross multiply
   37,882.69x = 82,415.81 × 82,415.81
4. Step 4: Simplify right side
   37,882.69x = 6,792,366,150.04
5. Step 5: Solve for x
   x = 6,792,366,150.04/37,882.69
6. Step 6: Final answer
   x = 179,300.01