Finding the Third Proportional to 37,963.69 and 82,480.78

Step by Step Solution

1. Step 1: Write the proportion equation
   37,963.69 : 82,480.78 = 82,480.78 : x
2. Step 2: Convert to fraction form
   37,963.69/82,480.78 = 82,480.78/x
3. Step 3: Cross multiply
   37,963.69x = 82,480.78 × 82,480.78
4. Step 4: Simplify right side
   37,963.69x = 6,803,079,275.61
5. Step 5: Solve for x
   x = 6,803,079,275.61/37,963.69
6. Step 6: Final answer
   x = 179,199.64