Finding the Third Proportional to 13,384 and 17,958

Step by Step Solution

1. Step 1: Write the proportion equation
   13,384 : 17,958 = 17,958 : x
2. Step 2: Convert to fraction form
   13,384/17,958 = 17,958/x
3. Step 3: Cross multiply
   13,384x = 17,958 × 17,958
4. Step 4: Simplify right side
   13,384x = 322,489,764
5. Step 5: Solve for x
   x = 322,489,764/13,384
6. Step 6: Final answer
   x = 24,095.17