Finding the Third Proportional to 30,540 and 65,697

Step by Step Solution

1. Step 1: Write the proportion equation
   30,540 : 65,697 = 65,697 : x
2. Step 2: Convert to fraction form
   30,540/65,697 = 65,697/x
3. Step 3: Cross multiply
   30,540x = 65,697 × 65,697
4. Step 4: Simplify right side
   30,540x = 4,316,095,809
5. Step 5: Solve for x
   x = 4,316,095,809/30,540
6. Step 6: Final answer
   x = 141,325.99