Finding the Third Proportional to 7,665.47 and 11,874.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,665.47 : 11,874.09 = 11,874.09 : x
2. Step 2: Convert to fraction form
   7,665.47/11,874.09 = 11,874.09/x
3. Step 3: Cross multiply
   7,665.47x = 11,874.09 × 11,874.09
4. Step 4: Simplify right side
   7,665.47x = 140,994,102.38
5. Step 5: Solve for x
   x = 140,994,102.38/7,665.47
6. Step 6: Final answer
   x = 18,393.41