Finding the Third Proportional to 5,300 and 5,708

Step by Step Solution

1. Step 1: Write the proportion equation
   5,300 : 5,708 = 5,708 : x
2. Step 2: Convert to fraction form
   5,300/5,708 = 5,708/x
3. Step 3: Cross multiply
   5,300x = 5,708 × 5,708
4. Step 4: Simplify right side
   5,300x = 32,581,264
5. Step 5: Solve for x
   x = 32,581,264/5,300
6. Step 6: Final answer
   x = 6,147.41