Finding the Third Proportional to 41,625 and 65,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,625 : 65,227.50 = 65,227.50 : x
2. Step 2: Convert to fraction form
   41,625/65,227.50 = 65,227.50/x
3. Step 3: Cross multiply
   41,625x = 65,227.50 × 65,227.50
4. Step 4: Simplify right side
   41,625x = 4,254,626,756.25
5. Step 5: Solve for x
   x = 4,254,626,756.25/41,625
6. Step 6: Final answer
   x = 102,213.26