Finding the Third Proportional to 17,804 and 27,574

Step by Step Solution

1. Step 1: Write the proportion equation
   17,804 : 27,574 = 27,574 : x
2. Step 2: Convert to fraction form
   17,804/27,574 = 27,574/x
3. Step 3: Cross multiply
   17,804x = 27,574 × 27,574
4. Step 4: Simplify right side
   17,804x = 760,325,476
5. Step 5: Solve for x
   x = 760,325,476/17,804
6. Step 6: Final answer
   x = 42,705.32