Finding the Third Proportional to 30,765 and 67,089

Step by Step Solution

1. Step 1: Write the proportion equation
   30,765 : 67,089 = 67,089 : x
2. Step 2: Convert to fraction form
   30,765/67,089 = 67,089/x
3. Step 3: Cross multiply
   30,765x = 67,089 × 67,089
4. Step 4: Simplify right side
   30,765x = 4,500,933,921
5. Step 5: Solve for x
   x = 4,500,933,921/30,765
6. Step 6: Final answer
   x = 146,300.47