Finding the Third Proportional to 8,157 and 12,964.31

Step by Step Solution

1. Step 1: Write the proportion equation
   8,157 : 12,964.31 = 12,964.31 : x
2. Step 2: Convert to fraction form
   8,157/12,964.31 = 12,964.31/x
3. Step 3: Cross multiply
   8,157x = 12,964.31 × 12,964.31
4. Step 4: Simplify right side
   8,157x = 168,073,398.60
5. Step 5: Solve for x
   x = 168,073,398.60/8,157
6. Step 6: Final answer
   x = 20,604.81