Finding the Third Proportional to 40,842 and 65,031

Step by Step Solution

1. Step 1: Write the proportion equation
   40,842 : 65,031 = 65,031 : x
2. Step 2: Convert to fraction form
   40,842/65,031 = 65,031/x
3. Step 3: Cross multiply
   40,842x = 65,031 × 65,031
4. Step 4: Simplify right side
   40,842x = 4,229,030,961
5. Step 5: Solve for x
   x = 4,229,030,961/40,842
6. Step 6: Final answer
   x = 103,546.13