Finding the Third Proportional to 8,156 and 12,670

Step by Step Solution

1. Step 1: Write the proportion equation
   8,156 : 12,670 = 12,670 : x
2. Step 2: Convert to fraction form
   8,156/12,670 = 12,670/x
3. Step 3: Cross multiply
   8,156x = 12,670 × 12,670
4. Step 4: Simplify right side
   8,156x = 160,528,900
5. Step 5: Solve for x
   x = 160,528,900/8,156
6. Step 6: Final answer
   x = 19,682.31