Finding the Third Proportional to 5,838 and 13,770

Step by Step Solution

1. Step 1: Write the proportion equation
   5,838 : 13,770 = 13,770 : x
2. Step 2: Convert to fraction form
   5,838/13,770 = 13,770/x
3. Step 3: Cross multiply
   5,838x = 13,770 × 13,770
4. Step 4: Simplify right side
   5,838x = 189,612,900
5. Step 5: Solve for x
   x = 189,612,900/5,838
6. Step 6: Final answer
   x = 32,479.09