Finding the Third Proportional to 41,976 and 65,515.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,976 : 65,515.50 = 65,515.50 : x
2. Step 2: Convert to fraction form
   41,976/65,515.50 = 65,515.50/x
3. Step 3: Cross multiply
   41,976x = 65,515.50 × 65,515.50
4. Step 4: Simplify right side
   41,976x = 4,292,280,740.25
5. Step 5: Solve for x
   x = 4,292,280,740.25/41,976
6. Step 6: Final answer
   x = 102,255.59