Finding the Third Proportional to 37,928.25 and 82,863

Step by Step Solution

1. Step 1: Write the proportion equation
   37,928.25 : 82,863 = 82,863 : x
2. Step 2: Convert to fraction form
   37,928.25/82,863 = 82,863/x
3. Step 3: Cross multiply
   37,928.25x = 82,863 × 82,863
4. Step 4: Simplify right side
   37,928.25x = 6,866,276,769
5. Step 5: Solve for x
   x = 6,866,276,769/37,928.25
6. Step 6: Final answer
   x = 181,033.31