Finding the Third Proportional to 33,018 and 39,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,018 : 39,682.50 = 39,682.50 : x
2. Step 2: Convert to fraction form
   33,018/39,682.50 = 39,682.50/x
3. Step 3: Cross multiply
   33,018x = 39,682.50 × 39,682.50
4. Step 4: Simplify right side
   33,018x = 1,574,700,806.25
5. Step 5: Solve for x
   x = 1,574,700,806.25/33,018
6. Step 6: Final answer
   x = 47,692.19