Finding the Third Proportional to 8,092.50 and 17,166

Step by Step Solution

1. Step 1: Write the proportion equation
   8,092.50 : 17,166 = 17,166 : x
2. Step 2: Convert to fraction form
   8,092.50/17,166 = 17,166/x
3. Step 3: Cross multiply
   8,092.50x = 17,166 × 17,166
4. Step 4: Simplify right side
   8,092.50x = 294,671,556
5. Step 5: Solve for x
   x = 294,671,556/8,092.50
6. Step 6: Final answer
   x = 36,412.92