Finding the Third Proportional to 10,132 and 17,924

Step by Step Solution

1. Step 1: Write the proportion equation
   10,132 : 17,924 = 17,924 : x
2. Step 2: Convert to fraction form
   10,132/17,924 = 17,924/x
3. Step 3: Cross multiply
   10,132x = 17,924 × 17,924
4. Step 4: Simplify right side
   10,132x = 321,269,776
5. Step 5: Solve for x
   x = 321,269,776/10,132
6. Step 6: Final answer
   x = 31,708.43