Finding the Third Proportional to 17,649 and 37,698

Step by Step Solution

1. Step 1: Write the proportion equation
   17,649 : 37,698 = 37,698 : x
2. Step 2: Convert to fraction form
   17,649/37,698 = 37,698/x
3. Step 3: Cross multiply
   17,649x = 37,698 × 37,698
4. Step 4: Simplify right side
   17,649x = 1,421,139,204
5. Step 5: Solve for x
   x = 1,421,139,204/17,649
6. Step 6: Final answer
   x = 80,522.36