Finding the Third Proportional to 7,540 and 17,827

Step by Step Solution

1. Step 1: Write the proportion equation
   7,540 : 17,827 = 17,827 : x
2. Step 2: Convert to fraction form
   7,540/17,827 = 17,827/x
3. Step 3: Cross multiply
   7,540x = 17,827 × 17,827
4. Step 4: Simplify right side
   7,540x = 317,801,929
5. Step 5: Solve for x
   x = 317,801,929/7,540
6. Step 6: Final answer
   x = 42,148.80