Finding the Third Proportional to 9,142.88 and 13,665.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.88 : 13,665.38 = 13,665.38 : x
2. Step 2: Convert to fraction form
   9,142.88/13,665.38 = 13,665.38/x
3. Step 3: Cross multiply
   9,142.88x = 13,665.38 × 13,665.38
4. Step 4: Simplify right side
   9,142.88x = 186,742,473.89
5. Step 5: Solve for x
   x = 186,742,473.89/9,142.88
6. Step 6: Final answer
   x = 20,424.92