Finding the Third Proportional to 39,771 and 85,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,771 : 85,768.50 = 85,768.50 : x
2. Step 2: Convert to fraction form
   39,771/85,768.50 = 85,768.50/x
3. Step 3: Cross multiply
   39,771x = 85,768.50 × 85,768.50
4. Step 4: Simplify right side
   39,771x = 7,356,235,592.25
5. Step 5: Solve for x
   x = 7,356,235,592.25/39,771
6. Step 6: Final answer
   x = 184,964.81