Finding the Third Proportional to 17,734 and 27,222

Step by Step Solution

1. Step 1: Write the proportion equation
   17,734 : 27,222 = 27,222 : x
2. Step 2: Convert to fraction form
   17,734/27,222 = 27,222/x
3. Step 3: Cross multiply
   17,734x = 27,222 × 27,222
4. Step 4: Simplify right side
   17,734x = 741,037,284
5. Step 5: Solve for x
   x = 741,037,284/17,734
6. Step 6: Final answer
   x = 41,786.25