Finding the Third Proportional to 11,720 and 27,666

Step by Step Solution

1. Step 1: Write the proportion equation
   11,720 : 27,666 = 27,666 : x
2. Step 2: Convert to fraction form
   11,720/27,666 = 27,666/x
3. Step 3: Cross multiply
   11,720x = 27,666 × 27,666
4. Step 4: Simplify right side
   11,720x = 765,407,556
5. Step 5: Solve for x
   x = 765,407,556/11,720
6. Step 6: Final answer
   x = 65,307.81