Finding the Third Proportional to 7,540 and 13,208

Step by Step Solution

1. Step 1: Write the proportion equation
   7,540 : 13,208 = 13,208 : x
2. Step 2: Convert to fraction form
   7,540/13,208 = 13,208/x
3. Step 3: Cross multiply
   7,540x = 13,208 × 13,208
4. Step 4: Simplify right side
   7,540x = 174,451,264
5. Step 5: Solve for x
   x = 174,451,264/7,540
6. Step 6: Final answer
   x = 23,136.77