Finding the Third Proportional to 5,484 and 13,162

Step by Step Solution

1. Step 1: Write the proportion equation
   5,484 : 13,162 = 13,162 : x
2. Step 2: Convert to fraction form
   5,484/13,162 = 13,162/x
3. Step 3: Cross multiply
   5,484x = 13,162 × 13,162
4. Step 4: Simplify right side
   5,484x = 173,238,244
5. Step 5: Solve for x
   x = 173,238,244/5,484
6. Step 6: Final answer
   x = 31,589.76