Finding the Third Proportional to 30,416 and 65,036

Step by Step Solution

1. Step 1: Write the proportion equation
   30,416 : 65,036 = 65,036 : x
2. Step 2: Convert to fraction form
   30,416/65,036 = 65,036/x
3. Step 3: Cross multiply
   30,416x = 65,036 × 65,036
4. Step 4: Simplify right side
   30,416x = 4,229,681,296
5. Step 5: Solve for x
   x = 4,229,681,296/30,416
6. Step 6: Final answer
   x = 139,061.06