Finding the Third Proportional to 41,396 and 65,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,396 : 65,577.50 = 65,577.50 : x
2. Step 2: Convert to fraction form
   41,396/65,577.50 = 65,577.50/x
3. Step 3: Cross multiply
   41,396x = 65,577.50 × 65,577.50
4. Step 4: Simplify right side
   41,396x = 4,300,408,506.25
5. Step 5: Solve for x
   x = 4,300,408,506.25/41,396
6. Step 6: Final answer
   x = 103,884.64