Finding the Third Proportional to 17,661 and 37,725

Step by Step Solution

1. Step 1: Write the proportion equation
   17,661 : 37,725 = 37,725 : x
2. Step 2: Convert to fraction form
   17,661/37,725 = 37,725/x
3. Step 3: Cross multiply
   17,661x = 37,725 × 37,725
4. Step 4: Simplify right side
   17,661x = 1,423,175,625
5. Step 5: Solve for x
   x = 1,423,175,625/17,661
6. Step 6: Final answer
   x = 80,582.96