Finding the Third Proportional to 41,778 and 64,720.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,778 : 64,720.50 = 64,720.50 : x
2. Step 2: Convert to fraction form
   41,778/64,720.50 = 64,720.50/x
3. Step 3: Cross multiply
   41,778x = 64,720.50 × 64,720.50
4. Step 4: Simplify right side
   41,778x = 4,188,743,120.25
5. Step 5: Solve for x
   x = 4,188,743,120.25/41,778
6. Step 6: Final answer
   x = 100,261.93