Finding the Third Proportional to 9,623.81 and 12,846.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,623.81 : 12,846.09 = 12,846.09 : x
2. Step 2: Convert to fraction form
   9,623.81/12,846.09 = 12,846.09/x
3. Step 3: Cross multiply
   9,623.81x = 12,846.09 × 12,846.09
4. Step 4: Simplify right side
   9,623.81x = 165,022,124.63
5. Step 5: Solve for x
   x = 165,022,124.63/9,623.81
6. Step 6: Final answer
   x = 17,147.27