Finding the Third Proportional to 17,685 and 38,493

Step by Step Solution

1. Step 1: Write the proportion equation
   17,685 : 38,493 = 38,493 : x
2. Step 2: Convert to fraction form
   17,685/38,493 = 38,493/x
3. Step 3: Cross multiply
   17,685x = 38,493 × 38,493
4. Step 4: Simplify right side
   17,685x = 1,481,711,049
5. Step 5: Solve for x
   x = 1,481,711,049/17,685
6. Step 6: Final answer
   x = 83,783.49