Finding the Third Proportional to 30,699 and 82,710

Step by Step Solution

1. Step 1: Write the proportion equation
   30,699 : 82,710 = 82,710 : x
2. Step 2: Convert to fraction form
   30,699/82,710 = 82,710/x
3. Step 3: Cross multiply
   30,699x = 82,710 × 82,710
4. Step 4: Simplify right side
   30,699x = 6,840,944,100
5. Step 5: Solve for x
   x = 6,840,944,100/30,699
6. Step 6: Final answer
   x = 222,839.31