Finding the Third Proportional to 17,754 and 27,361

Step by Step Solution

1. Step 1: Write the proportion equation
   17,754 : 27,361 = 27,361 : x
2. Step 2: Convert to fraction form
   17,754/27,361 = 27,361/x
3. Step 3: Cross multiply
   17,754x = 27,361 × 27,361
4. Step 4: Simplify right side
   17,754x = 748,624,321
5. Step 5: Solve for x
   x = 748,624,321/17,754
6. Step 6: Final answer
   x = 42,166.52