Finding the Third Proportional to 5,478 and 10,614

Step by Step Solution

1. Step 1: Write the proportion equation
   5,478 : 10,614 = 10,614 : x
2. Step 2: Convert to fraction form
   5,478/10,614 = 10,614/x
3. Step 3: Cross multiply
   5,478x = 10,614 × 10,614
4. Step 4: Simplify right side
   5,478x = 112,656,996
5. Step 5: Solve for x
   x = 112,656,996/5,478
6. Step 6: Final answer
   x = 20,565.35