Finding the Third Proportional to 41,790 and 65,226

Step by Step Solution

1. Step 1: Write the proportion equation
   41,790 : 65,226 = 65,226 : x
2. Step 2: Convert to fraction form
   41,790/65,226 = 65,226/x
3. Step 3: Cross multiply
   41,790x = 65,226 × 65,226
4. Step 4: Simplify right side
   41,790x = 4,254,431,076
5. Step 5: Solve for x
   x = 4,254,431,076/41,790
6. Step 6: Final answer
   x = 101,805.00