Finding the Third Proportional to 41,742.75 and 64,645.88

Step by Step Solution

1. Step 1: Write the proportion equation
   41,742.75 : 64,645.88 = 64,645.88 : x
2. Step 2: Convert to fraction form
   41,742.75/64,645.88 = 64,645.88/x
3. Step 3: Cross multiply
   41,742.75x = 64,645.88 × 64,645.88
4. Step 4: Simplify right side
   41,742.75x = 4,179,089,154.52
5. Step 5: Solve for x
   x = 4,179,089,154.52/41,742.75
6. Step 6: Final answer
   x = 100,115.33