Finding the Third Proportional to 30,690 and 71,722

Step by Step Solution

1. Step 1: Write the proportion equation
   30,690 : 71,722 = 71,722 : x
2. Step 2: Convert to fraction form
   30,690/71,722 = 71,722/x
3. Step 3: Cross multiply
   30,690x = 71,722 × 71,722
4. Step 4: Simplify right side
   30,690x = 5,144,045,284
5. Step 5: Solve for x
   x = 5,144,045,284/30,690
6. Step 6: Final answer
   x = 167,613.08