Finding the Third Proportional to 41,830 and 65,215

Step by Step Solution

1. Step 1: Write the proportion equation
   41,830 : 65,215 = 65,215 : x
2. Step 2: Convert to fraction form
   41,830/65,215 = 65,215/x
3. Step 3: Cross multiply
   41,830x = 65,215 × 65,215
4. Step 4: Simplify right side
   41,830x = 4,252,996,225
5. Step 5: Solve for x
   x = 4,252,996,225/41,830
6. Step 6: Final answer
   x = 101,673.35