Finding the Third Proportional to 8,171 and 10,957.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,171 : 10,957.50 = 10,957.50 : x
2. Step 2: Convert to fraction form
   8,171/10,957.50 = 10,957.50/x
3. Step 3: Cross multiply
   8,171x = 10,957.50 × 10,957.50
4. Step 4: Simplify right side
   8,171x = 120,066,806.25
5. Step 5: Solve for x
   x = 120,066,806.25/8,171
6. Step 6: Final answer
   x = 14,694.26