Finding the Third Proportional to 17,644 and 37,714

Step by Step Solution

1. Step 1: Write the proportion equation
   17,644 : 37,714 = 37,714 : x
2. Step 2: Convert to fraction form
   17,644/37,714 = 37,714/x
3. Step 3: Cross multiply
   17,644x = 37,714 × 37,714
4. Step 4: Simplify right side
   17,644x = 1,422,345,796
5. Step 5: Solve for x
   x = 1,422,345,796/17,644
6. Step 6: Final answer
   x = 80,613.57