Finding the Third Proportional to 37,963.69 and 82,483.31

Step by Step Solution

1. Step 1: Write the proportion equation
   37,963.69 : 82,483.31 = 82,483.31 : x
2. Step 2: Convert to fraction form
   37,963.69/82,483.31 = 82,483.31/x
3. Step 3: Cross multiply
   37,963.69x = 82,483.31 × 82,483.31
4. Step 4: Simplify right side
   37,963.69x = 6,803,496,840.97
5. Step 5: Solve for x
   x = 6,803,496,840.97/37,963.69
6. Step 6: Final answer
   x = 179,210.64