Finding the Third Proportional to 5,478 and 13,147

Step by Step Solution

1. Step 1: Write the proportion equation
   5,478 : 13,147 = 13,147 : x
2. Step 2: Convert to fraction form
   5,478/13,147 = 13,147/x
3. Step 3: Cross multiply
   5,478x = 13,147 × 13,147
4. Step 4: Simplify right side
   5,478x = 172,843,609
5. Step 5: Solve for x
   x = 172,843,609/5,478
6. Step 6: Final answer
   x = 31,552.32