Finding the Third Proportional to 8,091 and 17,685

Step by Step Solution

1. Step 1: Write the proportion equation
   8,091 : 17,685 = 17,685 : x
2. Step 2: Convert to fraction form
   8,091/17,685 = 17,685/x
3. Step 3: Cross multiply
   8,091x = 17,685 × 17,685
4. Step 4: Simplify right side
   8,091x = 312,759,225
5. Step 5: Solve for x
   x = 312,759,225/8,091
6. Step 6: Final answer
   x = 38,655.20