Finding the Third Proportional to 19,685 and 36,499

Step by Step Solution

1. Step 1: Write the proportion equation
   19,685 : 36,499 = 36,499 : x
2. Step 2: Convert to fraction form
   19,685/36,499 = 36,499/x
3. Step 3: Cross multiply
   19,685x = 36,499 × 36,499
4. Step 4: Simplify right side
   19,685x = 1,332,177,001
5. Step 5: Solve for x
   x = 1,332,177,001/19,685
6. Step 6: Final answer
   x = 67,674.73