Finding the Third Proportional to 17,534 and 27,166

Step by Step Solution

1. Step 1: Write the proportion equation
   17,534 : 27,166 = 27,166 : x
2. Step 2: Convert to fraction form
   17,534/27,166 = 27,166/x
3. Step 3: Cross multiply
   17,534x = 27,166 × 27,166
4. Step 4: Simplify right side
   17,534x = 737,991,556
5. Step 5: Solve for x
   x = 737,991,556/17,534
6. Step 6: Final answer
   x = 42,089.17