Finding the Third Proportional to 40,967 and 65,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,967 : 65,140.50 = 65,140.50 : x
2. Step 2: Convert to fraction form
   40,967/65,140.50 = 65,140.50/x
3. Step 3: Cross multiply
   40,967x = 65,140.50 × 65,140.50
4. Step 4: Simplify right side
   40,967x = 4,243,284,740.25
5. Step 5: Solve for x
   x = 4,243,284,740.25/40,967
6. Step 6: Final answer
   x = 103,578.12