Finding the Third Proportional to 41,379.75 and 64,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,379.75 : 64,189.50 = 64,189.50 : x
2. Step 2: Convert to fraction form
   41,379.75/64,189.50 = 64,189.50/x
3. Step 3: Cross multiply
   41,379.75x = 64,189.50 × 64,189.50
4. Step 4: Simplify right side
   41,379.75x = 4,120,291,910.25
5. Step 5: Solve for x
   x = 4,120,291,910.25/41,379.75
6. Step 6: Final answer
   x = 99,572.66