Finding the Third Proportional to 30,898 and 67,461

Step by Step Solution

1. Step 1: Write the proportion equation
   30,898 : 67,461 = 67,461 : x
2. Step 2: Convert to fraction form
   30,898/67,461 = 67,461/x
3. Step 3: Cross multiply
   30,898x = 67,461 × 67,461
4. Step 4: Simplify right side
   30,898x = 4,550,986,521
5. Step 5: Solve for x
   x = 4,550,986,521/30,898
6. Step 6: Final answer
   x = 147,290.65