Finding the Third Proportional to 41,762 and 64,779

Step by Step Solution

1. Step 1: Write the proportion equation
   41,762 : 64,779 = 64,779 : x
2. Step 2: Convert to fraction form
   41,762/64,779 = 64,779/x
3. Step 3: Cross multiply
   41,762x = 64,779 × 64,779
4. Step 4: Simplify right side
   41,762x = 4,196,318,841
5. Step 5: Solve for x
   x = 4,196,318,841/41,762
6. Step 6: Final answer
   x = 100,481.75