Finding the Third Proportional to 30,812 and 67,309

Step by Step Solution

1. Step 1: Write the proportion equation
   30,812 : 67,309 = 67,309 : x
2. Step 2: Convert to fraction form
   30,812/67,309 = 67,309/x
3. Step 3: Cross multiply
   30,812x = 67,309 × 67,309
4. Step 4: Simplify right side
   30,812x = 4,530,501,481
5. Step 5: Solve for x
   x = 4,530,501,481/30,812
6. Step 6: Final answer
   x = 147,036.92