Finding the Third Proportional to 5,996.53 and 13,185.28

Step by Step Solution

1. Step 1: Write the proportion equation
   5,996.53 : 13,185.28 = 13,185.28 : x
2. Step 2: Convert to fraction form
   5,996.53/13,185.28 = 13,185.28/x
3. Step 3: Cross multiply
   5,996.53x = 13,185.28 × 13,185.28
4. Step 4: Simplify right side
   5,996.53x = 173,851,641.64
5. Step 5: Solve for x
   x = 173,851,641.64/5,996.53
6. Step 6: Final answer
   x = 28,992.03