Finding the Third Proportional to 5,470 and 10,508

Step by Step Solution

1. Step 1: Write the proportion equation
   5,470 : 10,508 = 10,508 : x
2. Step 2: Convert to fraction form
   5,470/10,508 = 10,508/x
3. Step 3: Cross multiply
   5,470x = 10,508 × 10,508
4. Step 4: Simplify right side
   5,470x = 110,418,064
5. Step 5: Solve for x
   x = 110,418,064/5,470
6. Step 6: Final answer
   x = 20,186.12