Finding the Third Proportional to 27,649 and 59,666

Step by Step Solution

1. Step 1: Write the proportion equation
   27,649 : 59,666 = 59,666 : x
2. Step 2: Convert to fraction form
   27,649/59,666 = 59,666/x
3. Step 3: Cross multiply
   27,649x = 59,666 × 59,666
4. Step 4: Simplify right side
   27,649x = 3,560,031,556
5. Step 5: Solve for x
   x = 3,560,031,556/27,649
6. Step 6: Final answer
   x = 128,758.06