Finding the Third Proportional to 17,853 and 37,694

Step by Step Solution

1. Step 1: Write the proportion equation
   17,853 : 37,694 = 37,694 : x
2. Step 2: Convert to fraction form
   17,853/37,694 = 37,694/x
3. Step 3: Cross multiply
   17,853x = 37,694 × 37,694
4. Step 4: Simplify right side
   17,853x = 1,420,837,636
5. Step 5: Solve for x
   x = 1,420,837,636/17,853
6. Step 6: Final answer
   x = 79,585.37