Finding the Third Proportional to 41,565 and 64,489.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,565 : 64,489.50 = 64,489.50 : x
2. Step 2: Convert to fraction form
   41,565/64,489.50 = 64,489.50/x
3. Step 3: Cross multiply
   41,565x = 64,489.50 × 64,489.50
4. Step 4: Simplify right side
   41,565x = 4,158,895,610.25
5. Step 5: Solve for x
   x = 4,158,895,610.25/41,565
6. Step 6: Final answer
   x = 100,057.64