Finding the Third Proportional to 37,938.94 and 83,105.06

Step by Step Solution

1. Step 1: Write the proportion equation
   37,938.94 : 83,105.06 = 83,105.06 : x
2. Step 2: Convert to fraction form
   37,938.94/83,105.06 = 83,105.06/x
3. Step 3: Cross multiply
   37,938.94x = 83,105.06 × 83,105.06
4. Step 4: Simplify right side
   37,938.94x = 6,906,451,413.13
5. Step 5: Solve for x
   x = 6,906,451,413.13/37,938.94
6. Step 6: Final answer
   x = 182,041.24