Finding the Third Proportional to 9,774 and 12,708

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774 : 12,708 = 12,708 : x
2. Step 2: Convert to fraction form
   9,774/12,708 = 12,708/x
3. Step 3: Cross multiply
   9,774x = 12,708 × 12,708
4. Step 4: Simplify right side
   9,774x = 161,493,264
5. Step 5: Solve for x
   x = 161,493,264/9,774
6. Step 6: Final answer
   x = 16,522.74