Finding the Third Proportional to 8,535 and 17,853

Step by Step Solution

1. Step 1: Write the proportion equation
   8,535 : 17,853 = 17,853 : x
2. Step 2: Convert to fraction form
   8,535/17,853 = 17,853/x
3. Step 3: Cross multiply
   8,535x = 17,853 × 17,853
4. Step 4: Simplify right side
   8,535x = 318,729,609
5. Step 5: Solve for x
   x = 318,729,609/8,535
6. Step 6: Final answer
   x = 37,343.83