Finding the Third Proportional to 40,824 and 65,502

Step by Step Solution

1. Step 1: Write the proportion equation
   40,824 : 65,502 = 65,502 : x
2. Step 2: Convert to fraction form
   40,824/65,502 = 65,502/x
3. Step 3: Cross multiply
   40,824x = 65,502 × 65,502
4. Step 4: Simplify right side
   40,824x = 4,290,512,004
5. Step 5: Solve for x
   x = 4,290,512,004/40,824
6. Step 6: Final answer
   x = 105,097.79