Finding the Third Proportional to 41,773 and 64,653

Step by Step Solution

1. Step 1: Write the proportion equation
   41,773 : 64,653 = 64,653 : x
2. Step 2: Convert to fraction form
   41,773/64,653 = 64,653/x
3. Step 3: Cross multiply
   41,773x = 64,653 × 64,653
4. Step 4: Simplify right side
   41,773x = 4,180,010,409
5. Step 5: Solve for x
   x = 4,180,010,409/41,773
6. Step 6: Final answer
   x = 100,064.88