Finding the Third Proportional to 5,624 and 10,708

Step by Step Solution

1. Step 1: Write the proportion equation
   5,624 : 10,708 = 10,708 : x
2. Step 2: Convert to fraction form
   5,624/10,708 = 10,708/x
3. Step 3: Cross multiply
   5,624x = 10,708 × 10,708
4. Step 4: Simplify right side
   5,624x = 114,661,264
5. Step 5: Solve for x
   x = 114,661,264/5,624
6. Step 6: Final answer
   x = 20,387.85