Finding the Third Proportional to 5,796 and 13,674

Step by Step Solution

1. Step 1: Write the proportion equation
   5,796 : 13,674 = 13,674 : x
2. Step 2: Convert to fraction form
   5,796/13,674 = 13,674/x
3. Step 3: Cross multiply
   5,796x = 13,674 × 13,674
4. Step 4: Simplify right side
   5,796x = 186,978,276
5. Step 5: Solve for x
   x = 186,978,276/5,796
6. Step 6: Final answer
   x = 32,259.88