Finding the Third Proportional to 8,464.50 and 12,895

Step by Step Solution

1. Step 1: Write the proportion equation
   8,464.50 : 12,895 = 12,895 : x
2. Step 2: Convert to fraction form
   8,464.50/12,895 = 12,895/x
3. Step 3: Cross multiply
   8,464.50x = 12,895 × 12,895
4. Step 4: Simplify right side
   8,464.50x = 166,281,025
5. Step 5: Solve for x
   x = 166,281,025/8,464.50
6. Step 6: Final answer
   x = 19,644.52