Finding the Third Proportional to 30,540 and 65,686

Step by Step Solution

1. Step 1: Write the proportion equation
   30,540 : 65,686 = 65,686 : x
2. Step 2: Convert to fraction form
   30,540/65,686 = 65,686/x
3. Step 3: Cross multiply
   30,540x = 65,686 × 65,686
4. Step 4: Simplify right side
   30,540x = 4,314,650,596
5. Step 5: Solve for x
   x = 4,314,650,596/30,540
6. Step 6: Final answer
   x = 141,278.67