Finding the Third Proportional to 39,745.75 and 85,249.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,745.75 : 85,249.50 = 85,249.50 : x
2. Step 2: Convert to fraction form
   39,745.75/85,249.50 = 85,249.50/x
3. Step 3: Cross multiply
   39,745.75x = 85,249.50 × 85,249.50
4. Step 4: Simplify right side
   39,745.75x = 7,267,477,250.25
5. Step 5: Solve for x
   x = 7,267,477,250.25/39,745.75
6. Step 6: Final answer
   x = 182,849.17