Finding the Third Proportional to 8,165 and 12,976.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,165 : 12,976.50 = 12,976.50 : x
2. Step 2: Convert to fraction form
   8,165/12,976.50 = 12,976.50/x
3. Step 3: Cross multiply
   8,165x = 12,976.50 × 12,976.50
4. Step 4: Simplify right side
   8,165x = 168,389,552.25
5. Step 5: Solve for x
   x = 168,389,552.25/8,165
6. Step 6: Final answer
   x = 20,623.34