Finding the Third Proportional to 9,666.50 and 12,852.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666.50 : 12,852.75 = 12,852.75 : x
2. Step 2: Convert to fraction form
   9,666.50/12,852.75 = 12,852.75/x
3. Step 3: Cross multiply
   9,666.50x = 12,852.75 × 12,852.75
4. Step 4: Simplify right side
   9,666.50x = 165,193,182.56
5. Step 5: Solve for x
   x = 165,193,182.56/9,666.50
6. Step 6: Final answer
   x = 17,089.24