Finding the Third Proportional to 10,540 and 17,574

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 17,574 = 17,574 : x
2. Step 2: Convert to fraction form
   10,540/17,574 = 17,574/x
3. Step 3: Cross multiply
   10,540x = 17,574 × 17,574
4. Step 4: Simplify right side
   10,540x = 308,845,476
5. Step 5: Solve for x
   x = 308,845,476/10,540
6. Step 6: Final answer
   x = 29,302.23