Finding the Third Proportional to 30,538 and 65,596

Step by Step Solution

1. Step 1: Write the proportion equation
   30,538 : 65,596 = 65,596 : x
2. Step 2: Convert to fraction form
   30,538/65,596 = 65,596/x
3. Step 3: Cross multiply
   30,538x = 65,596 × 65,596
4. Step 4: Simplify right side
   30,538x = 4,302,835,216
5. Step 5: Solve for x
   x = 4,302,835,216/30,538
6. Step 6: Final answer
   x = 140,901.02