Finding the Third Proportional to 8,464 and 17,952

Step by Step Solution

1. Step 1: Write the proportion equation
   8,464 : 17,952 = 17,952 : x
2. Step 2: Convert to fraction form
   8,464/17,952 = 17,952/x
3. Step 3: Cross multiply
   8,464x = 17,952 × 17,952
4. Step 4: Simplify right side
   8,464x = 322,274,304
5. Step 5: Solve for x
   x = 322,274,304/8,464
6. Step 6: Final answer
   x = 38,075.89