Finding the Third Proportional to 17,885 and 38,757

Step by Step Solution

1. Step 1: Write the proportion equation
   17,885 : 38,757 = 38,757 : x
2. Step 2: Convert to fraction form
   17,885/38,757 = 38,757/x
3. Step 3: Cross multiply
   17,885x = 38,757 × 38,757
4. Step 4: Simplify right side
   17,885x = 1,502,105,049
5. Step 5: Solve for x
   x = 1,502,105,049/17,885
6. Step 6: Final answer
   x = 83,986.86