Finding the Third Proportional to 9,771 and 12,700.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,771 : 12,700.50 = 12,700.50 : x
2. Step 2: Convert to fraction form
   9,771/12,700.50 = 12,700.50/x
3. Step 3: Cross multiply
   9,771x = 12,700.50 × 12,700.50
4. Step 4: Simplify right side
   9,771x = 161,302,700.25
5. Step 5: Solve for x
   x = 161,302,700.25/9,771
6. Step 6: Final answer
   x = 16,508.31