Finding the Third Proportional to 41,536 and 65,280

Step by Step Solution

1. Step 1: Write the proportion equation
   41,536 : 65,280 = 65,280 : x
2. Step 2: Convert to fraction form
   41,536/65,280 = 65,280/x
3. Step 3: Cross multiply
   41,536x = 65,280 × 65,280
4. Step 4: Simplify right side
   41,536x = 4,261,478,400
5. Step 5: Solve for x
   x = 4,261,478,400/41,536
6. Step 6: Final answer
   x = 102,597.23