Finding the Third Proportional to 36,644.50 and 55,057.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,644.50 : 55,057.75 = 55,057.75 : x
2. Step 2: Convert to fraction form
   36,644.50/55,057.75 = 55,057.75/x
3. Step 3: Cross multiply
   36,644.50x = 55,057.75 × 55,057.75
4. Step 4: Simplify right side
   36,644.50x = 3,031,355,835.06
5. Step 5: Solve for x
   x = 3,031,355,835.06/36,644.50
6. Step 6: Final answer
   x = 82,723.35