Finding the Third Proportional to 17,585 and 37,919

Step by Step Solution

1. Step 1: Write the proportion equation
   17,585 : 37,919 = 37,919 : x
2. Step 2: Convert to fraction form
   17,585/37,919 = 37,919/x
3. Step 3: Cross multiply
   17,585x = 37,919 × 37,919
4. Step 4: Simplify right side
   17,585x = 1,437,850,561
5. Step 5: Solve for x
   x = 1,437,850,561/17,585
6. Step 6: Final answer
   x = 81,765.74