Finding the Third Proportional to 17,848 and 38,166

Step by Step Solution

1. Step 1: Write the proportion equation
   17,848 : 38,166 = 38,166 : x
2. Step 2: Convert to fraction form
   17,848/38,166 = 38,166/x
3. Step 3: Cross multiply
   17,848x = 38,166 × 38,166
4. Step 4: Simplify right side
   17,848x = 1,456,643,556
5. Step 5: Solve for x
   x = 1,456,643,556/17,848
6. Step 6: Final answer
   x = 81,613.83