Finding the Third Proportional to 17,574 and 23,229

Step by Step Solution

1. Step 1: Write the proportion equation
   17,574 : 23,229 = 23,229 : x
2. Step 2: Convert to fraction form
   17,574/23,229 = 23,229/x
3. Step 3: Cross multiply
   17,574x = 23,229 × 23,229
4. Step 4: Simplify right side
   17,574x = 539,586,441
5. Step 5: Solve for x
   x = 539,586,441/17,574
6. Step 6: Final answer
   x = 30,703.68