Finding the Third Proportional to 37,963.69 and 83,078.16

Step by Step Solution

1. Step 1: Write the proportion equation
   37,963.69 : 83,078.16 = 83,078.16 : x
2. Step 2: Convert to fraction form
   37,963.69/83,078.16 = 83,078.16/x
3. Step 3: Cross multiply
   37,963.69x = 83,078.16 × 83,078.16
4. Step 4: Simplify right side
   37,963.69x = 6,901,980,045.90
5. Step 5: Solve for x
   x = 6,901,980,045.90/37,963.69
6. Step 6: Final answer
   x = 181,804.79