Finding the Third Proportional to 9,193 and 12,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,193 : 12,327.50 = 12,327.50 : x
2. Step 2: Convert to fraction form
   9,193/12,327.50 = 12,327.50/x
3. Step 3: Cross multiply
   9,193x = 12,327.50 × 12,327.50
4. Step 4: Simplify right side
   9,193x = 151,967,256.25
5. Step 5: Solve for x
   x = 151,967,256.25/9,193
6. Step 6: Final answer
   x = 16,530.76