Finding the Third Proportional to 7,540 and 17,738

Step by Step Solution

1. Step 1: Write the proportion equation
   7,540 : 17,738 = 17,738 : x
2. Step 2: Convert to fraction form
   7,540/17,738 = 17,738/x
3. Step 3: Cross multiply
   7,540x = 17,738 × 17,738
4. Step 4: Simplify right side
   7,540x = 314,636,644
5. Step 5: Solve for x
   x = 314,636,644/7,540
6. Step 6: Final answer
   x = 41,729.00