Finding the Third Proportional to 41,581 and 55,729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,581 : 55,729.50 = 55,729.50 : x
2. Step 2: Convert to fraction form
   41,581/55,729.50 = 55,729.50/x
3. Step 3: Cross multiply
   41,581x = 55,729.50 × 55,729.50
4. Step 4: Simplify right side
   41,581x = 3,105,777,170.25
5. Step 5: Solve for x
   x = 3,105,777,170.25/41,581
6. Step 6: Final answer
   x = 74,692.22