Finding the Third Proportional to 8,264 and 17,488

Step by Step Solution

1. Step 1: Write the proportion equation
   8,264 : 17,488 = 17,488 : x
2. Step 2: Convert to fraction form
   8,264/17,488 = 17,488/x
3. Step 3: Cross multiply
   8,264x = 17,488 × 17,488
4. Step 4: Simplify right side
   8,264x = 305,830,144
5. Step 5: Solve for x
   x = 305,830,144/8,264
6. Step 6: Final answer
   x = 37,007.52