Finding the Third Proportional to 36,957 and 55,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,957 : 55,378.50 = 55,378.50 : x
2. Step 2: Convert to fraction form
   36,957/55,378.50 = 55,378.50/x
3. Step 3: Cross multiply
   36,957x = 55,378.50 × 55,378.50
4. Step 4: Simplify right side
   36,957x = 3,066,778,262.25
5. Step 5: Solve for x
   x = 3,066,778,262.25/36,957
6. Step 6: Final answer
   x = 82,982.34