Finding the Third Proportional to 7,665.89 and 11,793.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,665.89 : 11,793.09 = 11,793.09 : x
2. Step 2: Convert to fraction form
   7,665.89/11,793.09 = 11,793.09/x
3. Step 3: Cross multiply
   7,665.89x = 11,793.09 × 11,793.09
4. Step 4: Simplify right side
   7,665.89x = 139,077,060.20
5. Step 5: Solve for x
   x = 139,077,060.20/7,665.89
6. Step 6: Final answer
   x = 18,142.32