Finding the Third Proportional to 9,426 and 12,567

Step by Step Solution

1. Step 1: Write the proportion equation
   9,426 : 12,567 = 12,567 : x
2. Step 2: Convert to fraction form
   9,426/12,567 = 12,567/x
3. Step 3: Cross multiply
   9,426x = 12,567 × 12,567
4. Step 4: Simplify right side
   9,426x = 157,929,489
5. Step 5: Solve for x
   x = 157,929,489/9,426
6. Step 6: Final answer
   x = 16,754.67