Finding the Third Proportional to 41,787 and 65,223

Step by Step Solution

1. Step 1: Write the proportion equation
   41,787 : 65,223 = 65,223 : x
2. Step 2: Convert to fraction form
   41,787/65,223 = 65,223/x
3. Step 3: Cross multiply
   41,787x = 65,223 × 65,223
4. Step 4: Simplify right side
   41,787x = 4,254,039,729
5. Step 5: Solve for x
   x = 4,254,039,729/41,787
6. Step 6: Final answer
   x = 101,802.95