Finding the Third Proportional to 41,536.50 and 65,280.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,536.50 : 65,280.75 = 65,280.75 : x
2. Step 2: Convert to fraction form
   41,536.50/65,280.75 = 65,280.75/x
3. Step 3: Cross multiply
   41,536.50x = 65,280.75 × 65,280.75
4. Step 4: Simplify right side
   41,536.50x = 4,261,576,320.56
5. Step 5: Solve for x
   x = 4,261,576,320.56/41,536.50
6. Step 6: Final answer
   x = 102,598.35