Finding the Third Proportional to 17,754 and 38,686

Step by Step Solution

1. Step 1: Write the proportion equation
   17,754 : 38,686 = 38,686 : x
2. Step 2: Convert to fraction form
   17,754/38,686 = 38,686/x
3. Step 3: Cross multiply
   17,754x = 38,686 × 38,686
4. Step 4: Simplify right side
   17,754x = 1,496,606,596
5. Step 5: Solve for x
   x = 1,496,606,596/17,754
6. Step 6: Final answer
   x = 84,296.87