Finding the Third Proportional to 10,074 and 17,952

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074 : 17,952 = 17,952 : x
2. Step 2: Convert to fraction form
   10,074/17,952 = 17,952/x
3. Step 3: Cross multiply
   10,074x = 17,952 × 17,952
4. Step 4: Simplify right side
   10,074x = 322,274,304
5. Step 5: Solve for x
   x = 322,274,304/10,074
6. Step 6: Final answer
   x = 31,990.70