Finding the Third Proportional to 18,177 and 37,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   18,177 : 37,771.50 = 37,771.50 : x
2. Step 2: Convert to fraction form
   18,177/37,771.50 = 37,771.50/x
3. Step 3: Cross multiply
   18,177x = 37,771.50 × 37,771.50
4. Step 4: Simplify right side
   18,177x = 1,426,686,212.25
5. Step 5: Solve for x
   x = 1,426,686,212.25/18,177
6. Step 6: Final answer
   x = 78,488.54