Finding the Third Proportional to 5,906 and 13,384

Step by Step Solution

1. Step 1: Write the proportion equation
   5,906 : 13,384 = 13,384 : x
2. Step 2: Convert to fraction form
   5,906/13,384 = 13,384/x
3. Step 3: Cross multiply
   5,906x = 13,384 × 13,384
4. Step 4: Simplify right side
   5,906x = 179,131,456
5. Step 5: Solve for x
   x = 179,131,456/5,906
6. Step 6: Final answer
   x = 30,330.42