Finding the Third Proportional to 17,636 and 37,734

Step by Step Solution

1. Step 1: Write the proportion equation
   17,636 : 37,734 = 37,734 : x
2. Step 2: Convert to fraction form
   17,636/37,734 = 37,734/x
3. Step 3: Cross multiply
   17,636x = 37,734 × 37,734
4. Step 4: Simplify right side
   17,636x = 1,423,854,756
5. Step 5: Solve for x
   x = 1,423,854,756/17,636
6. Step 6: Final answer
   x = 80,735.70