Finding the Third Proportional to 9,598.50 and 12,966.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,598.50 : 12,966.75 = 12,966.75 : x
2. Step 2: Convert to fraction form
   9,598.50/12,966.75 = 12,966.75/x
3. Step 3: Cross multiply
   9,598.50x = 12,966.75 × 12,966.75
4. Step 4: Simplify right side
   9,598.50x = 168,136,605.56
5. Step 5: Solve for x
   x = 168,136,605.56/9,598.50
6. Step 6: Final answer
   x = 17,516.97