Finding the Third Proportional to 5,504 and 13,072

Step by Step Solution

1. Step 1: Write the proportion equation
   5,504 : 13,072 = 13,072 : x
2. Step 2: Convert to fraction form
   5,504/13,072 = 13,072/x
3. Step 3: Cross multiply
   5,504x = 13,072 × 13,072
4. Step 4: Simplify right side
   5,504x = 170,877,184
5. Step 5: Solve for x
   x = 170,877,184/5,504
6. Step 6: Final answer
   x = 31,046