Finding the Third Proportional to 36,863 and 57,666

Step by Step Solution

1. Step 1: Write the proportion equation
   36,863 : 57,666 = 57,666 : x
2. Step 2: Convert to fraction form
   36,863/57,666 = 57,666/x
3. Step 3: Cross multiply
   36,863x = 57,666 × 57,666
4. Step 4: Simplify right side
   36,863x = 3,325,367,556
5. Step 5: Solve for x
   x = 3,325,367,556/36,863
6. Step 6: Final answer
   x = 90,208.82