Finding the Third Proportional to 6,570 and 12,708

Step by Step Solution

1. Step 1: Write the proportion equation
   6,570 : 12,708 = 12,708 : x
2. Step 2: Convert to fraction form
   6,570/12,708 = 12,708/x
3. Step 3: Cross multiply
   6,570x = 12,708 × 12,708
4. Step 4: Simplify right side
   6,570x = 161,493,264
5. Step 5: Solve for x
   x = 161,493,264/6,570
6. Step 6: Final answer
   x = 24,580.41