Finding the Third Proportional to 41,575.50 and 65,267.25

Step by Step Solution

1. Step 1: Write the proportion equation
   41,575.50 : 65,267.25 = 65,267.25 : x
2. Step 2: Convert to fraction form
   41,575.50/65,267.25 = 65,267.25/x
3. Step 3: Cross multiply
   41,575.50x = 65,267.25 × 65,267.25
4. Step 4: Simplify right side
   41,575.50x = 4,259,813,922.56
5. Step 5: Solve for x
   x = 4,259,813,922.56/41,575.50
6. Step 6: Final answer
   x = 102,459.72