Finding the Third Proportional to 34,697 and 67,666

Step by Step Solution

1. Step 1: Write the proportion equation
   34,697 : 67,666 = 67,666 : x
2. Step 2: Convert to fraction form
   34,697/67,666 = 67,666/x
3. Step 3: Cross multiply
   34,697x = 67,666 × 67,666
4. Step 4: Simplify right side
   34,697x = 4,578,687,556
5. Step 5: Solve for x
   x = 4,578,687,556/34,697
6. Step 6: Final answer
   x = 131,962.06