Finding the Third Proportional to 30,074 and 65,786

Step by Step Solution

1. Step 1: Write the proportion equation
   30,074 : 65,786 = 65,786 : x
2. Step 2: Convert to fraction form
   30,074/65,786 = 65,786/x
3. Step 3: Cross multiply
   30,074x = 65,786 × 65,786
4. Step 4: Simplify right side
   30,074x = 4,327,797,796
5. Step 5: Solve for x
   x = 4,327,797,796/30,074
6. Step 6: Final answer
   x = 143,904.96