Finding the Third Proportional to 38,413.88 and 83,145.56

Step by Step Solution

1. Step 1: Write the proportion equation
   38,413.88 : 83,145.56 = 83,145.56 : x
2. Step 2: Convert to fraction form
   38,413.88/83,145.56 = 83,145.56/x
3. Step 3: Cross multiply
   38,413.88x = 83,145.56 × 83,145.56
4. Step 4: Simplify right side
   38,413.88x = 6,913,184,563.44
5. Step 5: Solve for x
   x = 6,913,184,563.44/38,413.88
6. Step 6: Final answer
   x = 179,965.82